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Charmonium states in QGP

Charmonium states in QGP. Su Houng Lee, Yonsei Univ. Lattice result for phase transitions. Chiral sym: <qq>. 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.

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Charmonium states in QGP

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  1. Charmonium states in QGP Su Houng Lee, Yonsei Univ.

  2. Lattice result for phase transitions Chiral sym: <qq> Confinement: L=e-F EOS: e , p Heavy quark V(r) J/y suppression Matsui Satz 86

  3. Quenched lattice calculation by Asakawa and Hatsuda using MEM T< 1.6 Tc T> 1.6 Tc J/y peak at 3.1 GeV J/y in Quark Gluon Plasma 2003: Asakawa and Hatsuda claimed J/y will survive up to 1.6 Tc

  4. Some more recent work- I C. Y. Wong… : Deby screened potential 0 e (GeV) -0.8 Tc 1.6xTc J/Y wave functions at finite T J/Y Binding energy as a function T

  5. What happens to J/y at Tc ? We will use QCD sum rule to answer this question because on can relate “Critical” behavior of e p  properties of J/y

  6. For Heavy quarks 1. Q2 (4mc2+Q2), expansion in 2. <Op>  Gluon operators only 3. Works well for cc states with  predicted Mhc<MJ/y before experiment Few words on QCD sum rule Based on Dispersion relation and OPE

  7. Near Tc : Morita, Lee (07) 1. All temperature effects in operator 2. <Op>T  two Gluon operators 3. Include possible width change 4. Extract temp dependence from QSR 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

  8. T dependence of condensates (Morita, Lee07)

  9. Tc Tc T dependence of Mass and width (Morita Lee07) If G=0 If dm=0

  10. G (MeV) G (MeV) T/Tc d mJ/y  Assuming G= 50 MeV at Tc, the mass shift could be -150 MeV at T=1.04 Tc T dependence of width from NLO QCD Thermal width of J/y in pure glue theory at NLO QCD Song (07) QCD sum rule constraint for mass shift and thermal width of J/y : Morita, Lee (07)

  11. Assuming sJ/y-N=2mb, G= (sJ/y-N v rN) =1.3 MeV Mass shift  7 MeV Application to finite density (Klingl, Weise, Lee (99), .. Morita(07)) Using linear density approximation

  12. Anti proton Heavy nuclei Possible observation in anti proton project at GSI

  13. Summary • Critical behavior of J/y near Tc, mass shift and width broadening  possible observation at LHC? Or RHIC (di-electron)?  change in multiplicity of J/y ?  similar mass shift could be observed at GSI 2. Need to improve the calculation  include continuum to investigate higher temperature  extend to unquenched calculation

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