transverse momentum and multiplicity fluctuations in ar+sc ......v. vovchenko talk at cpod2016 e....

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1/23 Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61/SHINE Evgeny Andronov for the NA61/SHINE Collaboration Saint Petersburg State University, LUHEP 30 May - 4 June, 2016 Critical Point and Onset of Deconfinement 2016 Wroclaw, Poland E. Andronov (for the NA61/SHINE Collaboration) Saint Petersburg State University, LUHEP Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61/SHINE

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Page 1: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

123

Transverse momentum and multiplicityfluctuations in Ar+Sc collisions at CERN SPS

from NA61SHINE

Evgeny Andronov for the NA61SHINE Collaboration

Saint Petersburg State University LUHEP

30 May - 4 June 2016

Critical Point and Onset of Deconfinement 2016Wroclaw Poland

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

223

Outline

I Introduction motivation definitions

I Analysis details

I Preliminary results on PT vs N fluctuations

bull for forward energy selected 40Ar+45Sc collisions and particles producedin strong and EM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV

bull Comparison with the EPOS199 model

bull Comparison with the NA61SHINE data on inelastic p+p interactionsand forward energy selected 7Be+9Be collisions

bull Comparison with the NA49 data on p+p C+C Si+Si and Pb+Pbcollisions

I Conclusions

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

323

Motivation of the NA61SHINE strong interaction programme

(MeV)B

micro200 300 400 500 600

T (

MeV

)

100

120

140

160

180

200

CP

NA49

p+p

C+CSi+Si

Pb+Pb

NA61 collected data

NA61 future data

p+p

Be+Be

Ar+ScXe+La

150A GeVc 13A GeVc

Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905

The NA61SHINE experiment performscomprehensive scan with light and

intermediate mass nuclei in energy range13A-158A GeV

Data taking schedule for the stronginteractions program and its proposed

extension(in gray)

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17

Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905

Comprehensive scan with light andintermediate mass nuclei in energy range

13A-158A GeV

Data taking schedule and its proposedextension (in gray)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

423

Strongly intensive fluctuation measures

We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)

Two families of strongly intensive quantities

∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

where PT =sumN

i=1 pTi

N - multiplicity of charged hadrons in an experimental acceptance

bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model

bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations

MGorenstein MGazdzicki PRC 84014904

MGorenstein et al PRC 88 2024907

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

523

Strongly intensive fluctuation measuresSensitivity to critical point

Analysis of SI fluctuation measures isexpected to give more insight into

CP location

SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP

Energy of the particles corresponds to PT

V Vovchenko talk at CPOD2016

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 2: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

223

Outline

I Introduction motivation definitions

I Analysis details

I Preliminary results on PT vs N fluctuations

bull for forward energy selected 40Ar+45Sc collisions and particles producedin strong and EM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV

bull Comparison with the EPOS199 model

bull Comparison with the NA61SHINE data on inelastic p+p interactionsand forward energy selected 7Be+9Be collisions

bull Comparison with the NA49 data on p+p C+C Si+Si and Pb+Pbcollisions

I Conclusions

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

323

Motivation of the NA61SHINE strong interaction programme

(MeV)B

micro200 300 400 500 600

T (

MeV

)

100

120

140

160

180

200

CP

NA49

p+p

C+CSi+Si

Pb+Pb

NA61 collected data

NA61 future data

p+p

Be+Be

Ar+ScXe+La

150A GeVc 13A GeVc

Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905

The NA61SHINE experiment performscomprehensive scan with light and

intermediate mass nuclei in energy range13A-158A GeV

Data taking schedule for the stronginteractions program and its proposed

extension(in gray)

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17

Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905

Comprehensive scan with light andintermediate mass nuclei in energy range

13A-158A GeV

Data taking schedule and its proposedextension (in gray)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

423

Strongly intensive fluctuation measures

We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)

Two families of strongly intensive quantities

∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

where PT =sumN

i=1 pTi

N - multiplicity of charged hadrons in an experimental acceptance

bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model

bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations

MGorenstein MGazdzicki PRC 84014904

MGorenstein et al PRC 88 2024907

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

523

Strongly intensive fluctuation measuresSensitivity to critical point

Analysis of SI fluctuation measures isexpected to give more insight into

CP location

SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP

Energy of the particles corresponds to PT

V Vovchenko talk at CPOD2016

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 3: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

323

Motivation of the NA61SHINE strong interaction programme

(MeV)B

micro200 300 400 500 600

T (

MeV

)

100

120

140

160

180

200

CP

NA49

p+p

C+CSi+Si

Pb+Pb

NA61 collected data

NA61 future data

p+p

Be+Be

Ar+ScXe+La

150A GeVc 13A GeVc

Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905

The NA61SHINE experiment performscomprehensive scan with light and

intermediate mass nuclei in energy range13A-158A GeV

Data taking schedule for the stronginteractions program and its proposed

extension(in gray)

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17

Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905

Comprehensive scan with light andintermediate mass nuclei in energy range

13A-158A GeV

Data taking schedule and its proposedextension (in gray)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

423

Strongly intensive fluctuation measures

We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)

Two families of strongly intensive quantities

∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

where PT =sumN

i=1 pTi

N - multiplicity of charged hadrons in an experimental acceptance

bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model

bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations

MGorenstein MGazdzicki PRC 84014904

MGorenstein et al PRC 88 2024907

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

523

Strongly intensive fluctuation measuresSensitivity to critical point

Analysis of SI fluctuation measures isexpected to give more insight into

CP location

SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP

Energy of the particles corresponds to PT

V Vovchenko talk at CPOD2016

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 4: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

423

Strongly intensive fluctuation measures

We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)

Two families of strongly intensive quantities

∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

where PT =sumN

i=1 pTi

N - multiplicity of charged hadrons in an experimental acceptance

bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model

bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations

MGorenstein MGazdzicki PRC 84014904

MGorenstein et al PRC 88 2024907

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

523

Strongly intensive fluctuation measuresSensitivity to critical point

Analysis of SI fluctuation measures isexpected to give more insight into

CP location

SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP

Energy of the particles corresponds to PT

V Vovchenko talk at CPOD2016

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 5: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

523

Strongly intensive fluctuation measuresSensitivity to critical point

Analysis of SI fluctuation measures isexpected to give more insight into

CP location

SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP

Energy of the particles corresponds to PT

V Vovchenko talk at CPOD2016

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 6: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

623

Analysis

I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy

I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map

40Ar+45Sc 150A GeVc

0

500

1000

1500

2000

2500

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

40Ar+45Sc 19A GeVc

0

200

400

600

800

1000

1200

π y-4 -2 0 2 4

[G

eVc

]Tp

0

05

1

15

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 7: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

723

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

1600

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 4893Mean y 1512RMS x 6932RMS y 2589

-hNA61SHINE preliminary

ent

ries

0

200

400

600

800

1000

1200

1400

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 5574Mean y 1942RMS x 7555RMS y 3161

+hNA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 8: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

823

Corrections

K Werner et al PRC 74044902

I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance

I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables

I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were

calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately

Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 9: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

923

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 10: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1023

∆Σ[PT N] effect of corrections40Ar+45Sc 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

UncorrectedCorrectedReconstructed EPOS199Pure EPOS199

Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)

Magnitude of correctionsis similar for negativelyand positively chargedhadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 11: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1123

Preliminary results

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 12: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1223

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

The EPOS199 model overestimates ∆[PT N]

Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 13: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1323

∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

NA61SHINE 0-5

EPOS199 0-5

Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP

EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 14: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1423

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 15: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1523

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel

Statistical uncertainties are less than 1 for all points and not drawn Systematic

uncertainties are under investigation (first estimates - 2 for 3 low energies and

of about 5 for 2 top energies)

W Broniowski M Rybczynski PRC 81 064909

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 16: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1623

∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

+h

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC

89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 17: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1723

Comparison with Pb+Pb results from NA49

To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 18: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1823

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible

∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 19: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

1923

∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

Sc 0-5 in NA49 acc45Ar+40

Pb+Pb 0-72 (NA49)

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 20: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2023

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -+h+h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structures which could be related to CP are visible

∆[PT N] is more sensitive to centrality selection than Σ[PT N]

T Anticic et al (NA49 Collaboration) PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 21: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2123

∆Σ[PT N] system size dependenceNA49 acceptance

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[P∆

06

08

1

12

14 +h

NA61SHINE preliminary

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 +h

NA61SHINE preliminary

150-158A GeVc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

rangWlang1 10 210 310

N]

T[PΣ

09

1

11 -+h+h

NA61SHINE preliminary

p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)

p+p in NA49 acc

Be+Be in NA49 acc

Ar+Sc 0-5 in NA49 acc

No prominent structureswhich could be relatedto CP are visible

∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]

T Anticic et al (NA49 Collaboration)

PRC 92 no4044905

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 22: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2223

Conclusions - 1

bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported

bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown

bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 23: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2323

Conclusions - 2

bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[P∆

06

08

1

12

NA61SHINE preliminary

-+h+h

[GeV]NNs8 10 12 14 16

rangWlang 110

N]

T[PΣ

09

1

11

12

NA61SHINE preliminary

-+h+h

Waiting for p+Pb Xe+La and Pb+Pb

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 24: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2423

evgenyandronovcernch

Thank You

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 25: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2523

Back-up

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 26: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2623

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 27: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2723

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 28: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2823

LMPD

Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls

Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)

Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)

Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)

Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators

PSD

Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV

High detector efficiency gt 95 Event rate 70 eventssec

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 29: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

2923

Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF

Centrality selection in Ar+Sc collisionsProjectile Spectator Detector

Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF

13 AGeVc 19 AGeVc 30 AGeVc

40 AGeVc 75 AGeVc 150 AGeVc

The module sets are chosen on the basis of corelations between energyand multiplicity for each module

5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 30: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3023

Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam

Event stats 19 30 40 75 150

Total 21M 31M 19M 41M 28M

Selected 01M 02M 01M 05M 01M

Track stats 19 30 40 75 150

Total 22M 54M 35M 156M 55M

Selected 5M 11M 8M 37M 15M

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 31: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3123

[PT N] fluctuations

PT =sumN

i=1 pTi

∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])

Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))

Here

ω[PT ] =〈P2

T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events

ω[N] = 〈N2〉minus〈N〉2〈N〉

ω[pT ] =p2TminuspT 2

pT middot - average over all particles

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 32: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3223

∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p uncorrectedp+p corrected

Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7

Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be

SI fluctuation measures do not change their energy dependence after corrections

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 33: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3323

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

Energy dependence trend is the same for full and limited acceptance

Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 34: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3423

∆Σ[PT N] acceptance dependencep+p

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

p+p full NA61 acc

beamp+p 0ltylty

Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]

∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons

It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 35: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3523

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

Centrality classes from 0minus 1 to 0minus 10

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 36: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3623

∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12+h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

centrality width []0 2 4 6 8 10

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

30A GeVc

30A GeVc EPOS199

The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons

Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 37: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3723

∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

Corrected 0-5

Corrected 0-1

Σ[PT N] is less centrality dependent than ∆[PT N]

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 38: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3823

Centrality dependence

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

]-[Nω]- N

T[P∆

]- NT

[PΣ

(a)

centrality

] - N

T[PΣ

] or

-

NT

[P∆]

or

-[N

ω

1

10

0-5 0-10 0-15 0-20

UrQMD 33 20A GeVneg charged

lt 2π

0 lt y

]-[Nω]- N

T[P∆

]- NT

[PΣ

(b)

Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)

∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality

selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance

(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was

assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly

rejected

and we call it acceptance losses On the other hand even in this accepted kinematic region we

still may have efficiency losses due to track reconstruction problems (including problems with

ionization energy loss dEdx reconstruction)

The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV

for the full 4π acceptance and for the particles accepted only in the center of mass rapidity

interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a

comparison of the results for the full and limited detector acceptance one observes rather strong

effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures

∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance

are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress

that the acceptance dependence shown in Fig 5 is the example only In general the measured

25

MGorenstein KGrebieszkow PRC 89034903

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 39: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

3923

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-+h+h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -+h+h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structures which could be related to CP are visible

Systematic uncertainties are under investigation (first estimates - 2 for 3 low

energies and of about 5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 40: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4023

∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12-h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 -h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[P∆

06

08

1

12 +h

NA61SHINE preliminary

[GeV]NNs6 8 10 12 14 16 18

N]

T[PΣ

09

1

11

12 +h

NA61SHINE preliminary

[GeV]NNs

810

1214

16rangWlang

1

10

N]

T[P∆0608

112

p+pBe 0-59Be+7 Sc 0-545Ar+40

No prominent structureswhich could be relatedto CP are visible

∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems

Systematic uncertainties

are under investigation

(first estimates - 2 for 3

low energies and of about

5 for 2 top energies)

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 41: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4123

Σ[PT N] system size dependence

Linear fit Parabolic fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 4872 4

p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus

Graph

10 210

098

1

102

104

106

108

Graph ndf 2χ 3119 3

p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus

Graph

Gaussian fit

10 210

098

1

102

104

106

108

Graph ndf 2χ 3124 3

Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421

Graph

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 42: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4223

Corrections

Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1

MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 43: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4323

Obtaining 〈W 〉

Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model

rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo

Tanguy Pierog core EPOS developer

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 44: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4423

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

ent

ries

0

100

200

300

400

500

600

700

N0 100 200

[G

eVc

]T

P

0

20

40

60

Mean x 1047Mean y 3454RMS x 1249RMS y 4695

-+h+hNA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE

Page 45: Transverse momentum and multiplicity fluctuations in Ar+Sc ......V. Vovchenko talk at CPOD2016 E. Andronov (for the NA61/SHINE Collaboration)Saint Petersburg State University, LUHEP

4523

Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons

N PT and PT 2 =sumN

i=1 p2Ti are measured for each event

PT 2 is needed to calculate the scaled variance of the inclusive

pT distribution ω[pT ] =p2TminuspT 2

pTusing only event quantities

N0 100 200

P(N

)

5minus10

4minus10

3minus10

2minus10

Mean 1047RMS 1249

NA61SHINE preliminary

[GeVc]TP0 20 40 60

) [c

GeV

]T

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 3453RMS 4701

NA61SHINE preliminary

[GeVc]TNP0 5000 10000 15000

) [c

GeV

]T

P(N

P

7minus10

6minus10

5minus10

4minus10

Mean 3665RMS 8972

NA61SHINE preliminary

]2c2 [GeVT2P0 20 40

]2G

eV2

) [c

T2

P(P

5minus10

4minus10

3minus10

2minus10

1minus10

Mean 17RMS 3164

NA61SHINE preliminary

E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP

Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE