charmonium states in qgp
DESCRIPTION
Charmonium states in QGP. Su Houng Lee, Yonsei Univ. Lattice result for phase transitions. Chiral sym: . Confinement: L=e -F. EOS: e , p. Heavy quark V(r). J/ y suppression Matsui Satz 86. Quenched lattice calculation by Asakawa and Hatsuda using MEM. T< 1.6 T c. T> 1.6 T c. - PowerPoint PPT PresentationTRANSCRIPT
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Charmonium states in QGP
Su Houng Lee, Yonsei Univ.
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Lattice result for phase transitionsLattice result for phase transitions
Confinement: L=e-F Chiral sym: <qq>
EOS: , p Heavy quark V(r)
J/ suppressionMatsui Satz 86
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2003: Asakawa and Hatsuda claimed J/ will survive up to 1.6 Tc
Quenched lattice calculation by Asakawa and Hatsuda using MEM
T< 1.6 Tc
T> 1.6 Tc
J/ peak at 3.1 GeV
J/J/in Quark Gluon Plasmain Quark Gluon Plasma
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C. Y. Wong… : Deby screened potential
(Ge
V
)
0
-0.8
Tc 1.6xTc
J/ Binding energy as a function T J/ wave functions at finite T
Some more recent work- ISome more recent work- I
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What happens to J/What happens to J/ at T at Tcc ? ?
We will use QCD sum rule to answer this question because on can relate
“Critical” behavior of p properties of J/
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Few words on QCD sum ruleFew words on QCD sum rule
Based on Dispersion relation and OPE
nnnn
n
n Q
nOpCpert
Qs
sdsQ
dQ
dM
)(
)(
)()(
22
2
For Heavy quarks
1. Q2 (4mc2+Q2), expansion in
n
cn m
GeV
Q
nOp
2
5.0)(
)()( 2/ Jmsfs 3. Works well for cc states with
2
2
4
)(
cn m
G
Q
nOp 2. <Op> Gluon operators
only
22/
1 4 cJn
n mmM
M
predicted Mc<MJ/ before experiment
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QSR for heavy quarks at finite TQSR for heavy quarks at finite T
Previous attempts: Furnstahl, Hatsuda, Lee (90) at high T
Klingl, Weise, Lee, Kim (99), Hayashigaki (99) at finite density
Near Tc : Morita, Lee (07)
1. All temperature effects in operator n
cn
T
m
cTGeV
Q
nOp
2
5.0)(
Phenn
n
OPEn
n
M
M
M
M 11 4. Extract temp dependence from
GGG , 2
2. <Op>T two Gluon operators
222 )()(
sms
sfs
J
3. Include possible width change
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T dependence of condensates T dependence of condensates (Morita, Lee07)
2
2
)(G
g
gGGT
pgpguupguupT 34
1
4
1
02 4
1
4
1GgGguuT
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T dependence of Mass and width T dependence of Mass and width (Morita Lee07)
Tc Tc
If =0 If m=0
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T dependence of width from NLO QCDT dependence of width from NLO QCD
Thermal width of J/ in pure glue theory at NLO QCD Song (07)
T/Tc
(
MeV
)
(
MeV
)
mJ/y
QCD sum rule constraint for mass shift and thermal width of J/ : Morita, Lee (07)
Assuming = 50 MeV at Tc, the mass shift could be -150 MeV at T=1.04 Tc
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Application to finite density Application to finite density (Klingl, Weise, Lee (99), .. Morita(07))
Assuming J/-N=2mb,
= (J/-N v N) =1.3 MeV
Mass shift 7 MeV
Using linear density approximation
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Possible observation in anti proton project at GSIPossible observation in anti proton project at GSI
Anti proton
4 to 6 GeV/ck
Heavy nuclei
3 2
11.2
0.17 5fm
fm fm
e
e
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SummarySummary
1. Critical behavior of J/ near Tc, mass shift and width broadening
possible observation at LHC? Or RHIC (di-electron)?
change in multiplicity of J/ ?
similar mass shift could be observed at GSI
2. Need to improve the calculation
include continuum to investigate higher temperature
extend to unquenched calculation