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![Page 1: Terence Tarnowsky Long-Range Multiplicity Correlations in Au+Au at Terence J Tarnowsky Purdue University for the STAR Collaboration 22nd Winter Workshop](https://reader033.vdocuments.net/reader033/viewer/2022051115/56649d4a5503460f94a27392/html5/thumbnails/1.jpg)
Terence Tarnowsky
Long-Range Multiplicity Correlations in Au+Au at
Terence J Tarnowsky Purdue University
for the STAR Collaboration
22nd Winter Workshop on Nuclear DynamicsSan Diego, CA
March 12-18, 2006
GeVsNN 200
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WWND, 3/12/06, La Jolla, CA 2Terence Tarnowsky
Outline
• I. Motivation
• II. Color Strings/Soft Particle Production Models
• III. F-B Multiplicity Correlations
• IV. Results
• V. Summary
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3Terence Tarnowsky
Study of correlations among particles produced in different rapidity regions helps to understand the mechanisms of particle production.
Many experiments show strong positive short-range correlations, indicating clustering of particles over a region of ~ 1 unit in rapidity.
Production of particles in the central rapidity region dominated at all energies by these short-range correlations.
Longer range correlations are observed in h-h interactions only at high energies.
It has been suggested that the long-range correlations might be much stronger in h-A and A-A interactions, compared to h-h scattering at the same energy.
Strong, long-range correlations are an indication of multiple inelastic collisions [1,2].
Motivation
1. Dual Parton Model (DPM): A. Capella et al., Phys. Rep. 236, 225 (1994).2. A. Capella and A. Krzywicki , Phys. Rev. D184,120(1978).
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WWND, 3/12/06, La Jolla, CA 4Terence Tarnowsky
Color Strings
• At low energies, valence quarks of nucleons form strings that then hadronize wounded nucleon model.
• At high energies, contribution of sea quarks and gluons becomes dominant.– Additional color strings formed.– Multiple inelastic parton scattering.
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WWND, 3/12/06, La Jolla, CA 5Terence Tarnowsky
Color Strings
• Created in nuclear collisions.
• Considered effective sources w/ fixed
transverse area, rT ≈ 0.2 fm
• At large string density:• Strings overlap.• Clusters formed.
• Study of cluster dynamics allows calculation of physical observables.
A.Capella, et al. Phys. Report. 236,225(1994)
M.A.Braun and C.Pajares.
Nucl. Phys. B390,542(1993)
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WWND, 3/12/06, La Jolla, CA 6Terence Tarnowsky
Dual Parton Model (DPM)
• Model describing soft hadronic particle processes.
• Particle production proceeds via a Schwinger-type mechanism,– Strings hadronize to produce quark-antiquark
pairs.
• DPM assumes that all strings hadronize independently.
A. Capella et al., Phys. Rep. 236, 225 (1994).
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7Terence Tarnowsky
The independence of string fragmentation in models such as DPMis considered a strong assumption.
Since the average number of strings increases with energy: • Simple mechanism of multiparticle production becomes invalid. • Overlapping strings could merge into “ropes” or fuse, leading to F-B correlations very different from the ones predicted in independent string models.
When strings fuse w/o producing long-range correlations, a decrease of F-B correlations compared to independent string picture is expected [1,2,3].
1. N. S. Amelin, N. Armesto, M.A.Braun , E. G. Ferrerio and C. Pajares Phys. Rev. Lett. 73, 2813(1994).2. N. Armesto, M.A.Braun , E. G. Ferrerio and C. Pajares Z. Phys. C67, 489 (1995). 3. M. A. Braun, C. Pajares and J. Ranft Int. J. Mod. Phys. A14, 2689(1999).
Beyond DPM
Can interpret string fusion as an intermediate stage towards QGP formation.
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WWND, 3/12/06, La Jolla, CA 8Terence Tarnowsky
Parton String Model (PSM)
• At high string densities, color fields overlap and fusion can occur.
• Monte Carlo model, based on DPM, but includes string interaction:– Fusion of soft string pairs.
• Fusion leads to:– Reduction in particle multiplicity (≈
30%) compared to Nbin scaling from pp.– <pT> enhancement.
• Conservation of energy-momentum.• Pion <pT> 0.35 GeV/c in pp, 0.44 GeV/c in
Au+Au.
– Both effects seen in RHIC data.
Similar to QGSM, A.B.Kaidalov, Phys. Lett. B116 (1982) 459
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WWND, 3/12/06, La Jolla, CA 9Terence Tarnowsky
F-B Multiplicity Correlations• Predicted in context of DPM.• Test of multiple [partonic] scattering.• Linear expression relating Nb, Nf found in hadron-
hadron experiments (ex. UA5),
• “b” is correlation strength.– Function of √s and A.– Coefficient can be expressed as,
ffb bNaNN )(
2
2
22ff
bf
ff
bfbf
D
D
NN
NNNNb
22 nnLRC exists only if:
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WWND, 3/12/06, La Jolla, CA 10Terence Tarnowsky
Measurement of Long-Range Multiplicity Correlations
• A gap about midrapidity will eliminate effect of short-range correlations (e.g .from clustering, jets, …)– DPM assumes short-range correlations
confined to individual strings.– Long-range correlations due to superposition of
fluctuating number of strings. bfbfbfbf NNnnNNNND 00
222
Fluctuation in # of inelastic collisions
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WWND, 3/12/06, La Jolla, CA 11Terence Tarnowsky
STAR Detector
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WWND, 3/12/06, La Jolla, CA 12Terence Tarnowsky
ηη1
η2
- η1
- η2 0
Forward nfBackward nb
Rapidity Gap
Rapidity interval
High Energy
Long Range Long Range Short + Long Range
Low Energy
Strings
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WWND, 3/12/06, La Jolla, CA 13Terence Tarnowsky
Analysis1. Au+Au at 200 GeV.
2. For Au+Au, eight centrality bins as defined by STAR charged particle reference multiplicity:0-10%, 10-20%, …, 70-80%.
- Primary tracks- || < 0.5- TPC fit points >= 10 - dca < 3 cm
3. Eliminate short-range correlation by considering backward and forward intervals (0.2 units) separated by at least 1.5 pseudorapidity units.
4. The forward region is 0.8 < < 1.0, while the backward region is -1.0 < < - 0.8. Intervals are symmetric with a gap of =1.6.
6. 0.1 < pT < 1.2 GeV, |vz| < 30 cm.
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WWND, 3/12/06, La Jolla, CA 14Terence Tarnowsky
Calculating Dispersion• Calculate <nf>, <nb>, <nf>2, and <nf nb> as functions of STAR
reference multiplicity.
Nch<n f>
<n b>
Nch
STAR Preliminary STAR Preliminary
<n f*
n f>
Nch Nch<n f*
n b>
STAR Preliminary STAR Preliminary
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WWND, 3/12/06, La Jolla, CA 15Terence Tarnowsky
Calculating Dispersion
• Previous quantities now expressed as function of Nch, eg.
• Use to calculate respective dispersions as function of Nch,
.
),(
,)(
etc
Nnn
Nn
chbf
chf
)()()(
)()()(2
222
chbfchbfchbf
chfchfchff
NnnNnnND
NnNnND
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WWND, 3/12/06, La Jolla, CA 16Terence Tarnowsky
Uncorrected Dispersion Results• Results *before* corrections for TPC
tracking efficiency/acceptance.
STAR Preliminary STAR Preliminary
• Non-zero long-range correlation!
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WWND, 3/12/06, La Jolla, CA 17Terence Tarnowsky
Binned Results
2
2 2 2
f b f b bf
f f ff
n n n n Db
n n D
STAR Preliminary
STAR Preliminary
STAR Preliminary
• Can now be binned according to STAR minbias centrality cuts .
Results corrected for tracking efficiency & detector acceptance.
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WWND, 3/12/06, La Jolla, CA 18Terence Tarnowsky
Comparison to Independent PSM
• Independent string picture shows:
- Good agreement in peripheral collisions.
- Large discrepancy in central collisions
STAR Preliminary
STAR Preliminary
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WWND, 3/12/06, La Jolla, CA 19Terence Tarnowsky
STAR Preliminary
STAR Preliminary
Comparison to Collective PSM
• PSM w/ string fusion describes RHIC, 200 GeV Au+Au data:
• Multiplicity
• <pt> enhancement.
• Particle ratios.
• Strangeness production.
PSM w/ 2 String Fusion:
• Introduction of collective effect via fusion of strings.
• PSM minbias multiplicity distribution matched corrected data.
Armesto, et. al. Phys.Lett. B527 (2002) 92-98
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WWND, 3/12/06, La Jolla, CA 20Terence Tarnowsky
Further Study
• Determine energy and system size dependence of correlations.– Studies of d+Au and pp done.– 62.4 GeV Au+Au.– 200, 62.4, 22.4 GeV Cu+Cu.
• Rapidity dependence over entire STAR acceptance.– Midrapidity (TPC, -1.0<<1.0)– Forward rapidity (FTPC, 2.8<||<3.8)
• Possible threshold effect?
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WWND, 3/12/06, La Jolla, CA 21Terence Tarnowsky
Summary
• Measurement of long-range correlations in high energy, heavy ion collisions.
• Suppression of correlation strength in Au+Au, compared to the independent string picture, indicates a dynamical reduction in the number of particle sources.
• Overlap and interaction of color strings has been considered to explain this additional collectivity.
• Can interpret long-range correlation results and string fusion as a precursor of high energy density, quark-gluon matter produced in central Au+Au collisions.