Ágnes mócsyqwg meeting bnl june 27-30 06 1 quarkonia above deconfinement and potential models...
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Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
11
Quarkonia above Quarkonia above DeconfinementDeconfinement
and Potential Modelsand Potential Models
Quarkonia above Quarkonia above DeconfinementDeconfinement
and Potential Modelsand Potential Models
Ágnes MócsyÁgnes Mócsy
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Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
22summarysummarysummarysummary
potential models vs lattice QCD potential models vs lattice QCD
some features of quarkonia spectral some features of quarkonia spectral
functions agree BUT there are unreconciled functions agree BUT there are unreconciled
inconsistenciesinconsistencies
1st analysis of correlators from potential 1st analysis of correlators from potential
modelsmodels
our attempts to understand the discrepancies our attempts to understand the discrepancies
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
33
J/J/ suppression “unambiguous” signal of suppression “unambiguous” signal of deconfinementdeconfinement
T. Matsui, H. Satz 1986T. Matsui, H. Satz 1986
in quark-gluon plasma the color Coulomb-force in quark-gluon plasma the color Coulomb-force
between heavy Q and between heavy Q and Q gets Debye-screenedQ gets Debye-screened
RRscreeningscreening < R < RQQQ Q quarkonium dissociatesquarkonium dissociates
sequential suppressionsequential suppression F. Karsch, M. Mehr, H. Satz 1988F. Karsch, M. Mehr, H. Satz 1988
modification of quarkonia properties with modification of quarkonia properties with
temperature could tell about deconfinementtemperature could tell about deconfinement
it all started in 1986it all started in 1986it all started in 1986it all started in 1986
T
’’(2S)(2S) cc(1P)(1P) J/J/(1S)(1S)0.9fm0.9fm 0.7f0.7f
mm0.4f0.4fmm
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
44since 2004 from QCDsince 2004 from QCDsince 2004 from QCDsince 2004 from QCD
correlationcorrelation functions of hadronic currentsfunctions of hadronic currents reliably calculated reliably calculated
spectral function spectral function ((,T),T)
€
G τ ,T( )Grecon τ ,T( )
=σ ω,T( )K τ ,ω,T( )dω∫
σ ω,T = 0( )K τ ,ω,T( )dω∫
also: T. Umedaalso: T. UmedaT. Hatsuda, M. AsakawaT. Hatsuda, M. Asakawa
S. Datta et al 2004S. Datta et al 20041P charmonium is gone at 1.16T1P charmonium is gone at 1.16Tcc
P. Petreczky et al 2006P. Petreczky et al 2006
M E MM E M
€
=1⇒ σ (ω,T) = σ (ω,T = 0)
c0c0
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
55from from from from
1S charmonium survives 1S charmonium survives
up to 1.5Tup to 1.5Tcc
correlatorcorrelator spectral function spectral function
does not changedoes not change spectral function spectral function properties properties do not changedo not changecontradiction with early potential model predictionscontradiction with early potential model predictions
S. Datta et al 2004S. Datta et al 2004
cc
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
66
At what temperature do heavy quark bound At what temperature do heavy quark bound
states disappear? states disappear?
Can modification of quarkonia properties Can modification of quarkonia properties
be understood via a temperature-dependent be understood via a temperature-dependent
screened potential? screened potential?
If yes, what is the potential? If yes, what is the potential?
If not, how can we explain quarkonium If not, how can we explain quarkonium
dissociation? What is the mechanism behind dissociation? What is the mechanism behind
quarkonia melting? quarkonia melting?
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
77potential MODELpotential MODELpotential MODELpotential MODEL
heavy Q-heavy Q-Q interactions are mediated by a potentialQ interactions are mediated by a potential
confinedconfined
deconfineddeconfinedJ/
r
V(r)V( )
ar r
r=− + T = T =
00
T > TT > Tcc
( ) ( ) ( )2
2 2
110
dV r E u r
m dr mr
+⎛ ⎞− + + − =⎜ ⎟⎝ ⎠
l l( ) ( )u r
R rr
=
success for spectroscopysuccess for spectroscopylattice confirmedlattice confirmedobtainable from QCDobtainable from QCD
we don’t knowwe don’t know
assume a temperature-dependent potential V(r,T) assume a temperature-dependent potential V(r,T)
& solve Schrödinger’s equation to obtain properties of Q& solve Schrödinger’s equation to obtain properties of QQQ
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
88screened potentialsscreened potentialsscreened potentialsscreened potentials
screened Cornell potential:screened Cornell potential:
fitted lattice internal energy:fitted lattice internal energy:
Wong potential: Wong potential:
mixture of lattice internal & free energymixture of lattice internal & free energy
Common: Common:
all could keep the J/all could keep the J/ up to 1.5 T up to 1.5 Tcc
Is this enough to be consistent with lattice?Is this enough to be consistent with lattice?
( ) ( )
( )( )( )T TV ,T 1
Tr ra
r e er
μ μσ
μ− − = − + −
E. Shuryak, I. Zahed, E. Shuryak, I. Zahed, 20042004W. Alberico et al W. Alberico et al 20052005
C. Y. Wong C. Y. Wong 20052005
F. Karsch, M. Mehr, H. Satz, 1988F. Karsch, M. Mehr, H. Satz, 1988
O. Kaczmarek et al 2004O. Kaczmarek et al 2004
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
99
bound states/resonances + bound states/resonances + continuumcontinuum
I. model spectral functionI. model spectral functionI. model spectral functionI. model spectral function
€
(ω)
€
2M i∑ Fi2δ ω2 − M i
2( )
€
m0ω2 f ω,s0( )θ ω − s0( )++=
€
G τ ,T( ) = σ ω,T( )K τ ,ω,T( )dω∫
€
G T > Tc( )Grecon
ÁM, P. Petreczky, ÁM, P. Petreczky, hep-ph/0411262hep-ph/0411262 hep-ph/0512156hep-ph/0512156 hep-ph/0606053hep-ph/0606053
Schrödinger eq with V(r,T) Schrödinger eq with V(r,T)
MMii(T) bound state mass(T) bound state mass
FFii(T) amplitude(T) amplitude
asymptotic value of V(r,T)asymptotic value of V(r,T)
ss00(T) threshold(T) threshold
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1010c0c0 correlator correlatorc0c0 correlator correlator
the the c0c0 is gone just above T is gone just above Tcc
increase in correlator due to continuumincrease in correlator due to continuum
qualitative agreement with lattice qualitative agreement with lattice
ÁM, P. Petreczky ÁM, P. Petreczky 20052005
S. Datta et al S. Datta et al 20042004
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1111cc correlator correlatorcc correlator correlator
cc correlator does not agree with lattice correlator does not agree with lattice
increase due to continuum, decrease due to amplitude reductionincrease due to continuum, decrease due to amplitude reduction
correlator implies change in spectral functioncorrelator implies change in spectral function
disagrees with lattice disagrees with lattice
feature for all screened potentialsfeature for all screened potentials
ÁM, P. Petreczky ÁM, P. Petreczky 20052005
S. Datta et al S. Datta et al 20042004
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1212
no assumption for spectral function neededno assumption for spectral function needed
drastic change in 1S mass & amplitudedrastic change in 1S mass & amplitude
inconsistent with latticeinconsistent with lattice
even though 1S survives the spectral function is even though 1S survives the spectral function is strongly modifiedstrongly modifiedII. nonrelativistic Green’s II. nonrelativistic Green’s
functionfunctionII. nonrelativistic Green’s II. nonrelativistic Green’s
functionfunction
lattice internal energy
S-waveS-wave
A. Jakovác et al A. Jakovác et al 20062006ÁM, P. Petreczky, J. Casalderrey-ÁM, P. Petreczky, J. Casalderrey-
Solana, in prep.Solana, in prep.
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1313Green’s fct. cont.Green’s fct. cont.Green’s fct. cont.Green’s fct. cont.
inconsistency with lattice data is even worseinconsistency with lattice data is even worse
how could we - can we - produce agreement with how could we - can we - produce agreement with
lattice?lattice?
Wong potentialÁM, P. Petreczky ÁM, P. Petreczky hep-ph/0606053hep-ph/0606053
A. Jakovác et al A. Jakovác et al 20062006
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1414instead consider a toy instead consider a toy
modelmodelinstead consider a toy instead consider a toy
modelmodel
no temperature-dependent screeningno temperature-dependent screening
no modification of the 1S properties - use PDGno modification of the 1S properties - use PDG
melting of 2S and 3S statesmelting of 2S and 3S states
melting of the 1P statemelting of the 1P state
continuum threshold scontinuum threshold s00 reduction reduction
1S1S 2S2S 3S3S
T = 0T = 0
T T TTcc
11PP
ÁM ÁM hep-ph/0606124hep-ph/0606124
ss00 ss00ss00 ss00
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1515the toy modelthe toy modelthe toy modelthe toy model
cc
c0c0
choice of schoice of s0 0 can reproduce lattice correlatorscan reproduce lattice correlators
cc unchanged & unchanged & c0 c0 increased increased
compensate for the melting of higher excited states compensate for the melting of higher excited states above Tabove Tcc with the decrease of the threshold with the decrease of the threshold
ÁM 2006ÁM 2006
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1616with nonrelativistic with nonrelativistic
Green’s fct.Green’s fct.with nonrelativistic with nonrelativistic
Green’s fct.Green’s fct.
maybe works BUT note: “screened” not maybe works BUT note: “screened” not screened screened
screening might not be the mechanism screening might not be the mechanism governing quarkonia melting governing quarkonia melting ttscreeningscreening>t>tQQQQ
ÁM, P. Petreczky, J. Casalderrey-ÁM, P. Petreczky, J. Casalderrey-Solana, in prep.Solana, in prep.
“screened” Cornell potential
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1717conclusionconclusionconclusionconclusion
temperature-dependent screened potentials have temperature-dependent screened potentials have problems even though 1S can survive and 1P melts problems even though 1S can survive and 1P melts
two different analysis of spectral functions and two different analysis of spectral functions and correlators not consistent with lattice QCDcorrelators not consistent with lattice QCD
medium modification cannot be described by a medium modification cannot be described by a simple Debye screening picture simple Debye screening picture
gluo-dissociation effect gluo-dissociation effect finite width finite width Green’s fctGreen’s fct
current investigationcurrent investigation
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1818my thanks tomy thanks tomy thanks tomy thanks to
Péter PetreczkyPéter Petreczky
Jorge Casalderrey-SolanaJorge Casalderrey-Solana
Dima KharzeevDima Kharzeev
Helmut SatzHelmut Satz
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1919
T << ET << EQQ QQ gluo-gluo-dissociation dissociation effecteffect discrete states discrete states dominate dominate
ground state ground state unaffectedunaffected
T >TT >Tcc gluon sector gluon sector relevantrelevant
F. F. Karsch et al 1996Karsch et al 1996
Rate of J/Rate of J/ escape into the continuum escape into the continuum
€
∝exp −MQQ
T
⎛
⎝ ⎜
⎞
⎠ ⎟
D. Kharzeev, L. McLerran, H. D. Kharzeev, L. McLerran, H. Satz 1995Satz 1995
€
∝T 3 / 2 exp −E
T
⎛
⎝ ⎜
⎞
⎠ ⎟
€
EQQ
= s0 − MQQ
€
Z(T) = ZQQ
(T) + Zcont (T)
€
R∝1
Z(T)T 2 exp −
EQQ
T
⎛
⎝ ⎜
⎞
⎠ ⎟
E. Shuryak 1978E. Shuryak 1978G. Bhanot, M.Peskin 1979G. Bhanot, M.Peskin 1979
binding energybinding energy
T >> ET >> EQQ QQ screeningscreening
continuum continuum dominatesdominates all states get all states get modifiedmodified
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