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Properties of Quarkonia at T c

Properties of Quarkonia at T c. Su Houng Lee In collaboration with Kenji Morita. T< 1.6 T c. 1988: Hansson, Lee, Zahed: J/ y states in QGP. 2004: Asakawa, Hatsuda: J/ y will survive up to 2 Tc. T> 1.6 T c. Confirmed by other lattice calculations: Datta etal.

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Properties of Quarkonia at T c

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  1. Properties of Quarkonia at Tc Su Houng Lee In collaborationwith Kenji Morita

  2. T< 1.6 Tc 1988: Hansson, Lee, Zahed: J/y states in QGP 2004: Asakawa, Hatsuda: J/y will survive up to 2 Tc T> 1.6 Tc Confirmed by other lattice calculations: Datta etal. and potential model: Wong. .. J/y in Quark Gluon Plasma 1986: Hashimoto, Miyamura,..: Mass shift of J/y Near Tc 1986: Matsui, Satz: J/y will dissolve at Tc

  3. Large uncertainty in lattice MEM Jakovac et al. hep-lat/0611017 • Tc<T<2Tc is non perturbative region J/y T=0 phenomenological approach? High T perturbative approach? Karsch hep-lat/0106019 J/y in Quark Gluon Plasma • Tc<T<2Tc is important in HIC Kolb, Heinz, nucl-th/0305084

  4. How can we treat heavy quark system in QCD ? Properties of QGP from lattice

  5. Using energy momentum tensor p and e local operators <a/p B2>T =0 D<a/p G2>T <a/p E2>T Maximum at 1.1Tc Extraction from lattice: Morita, Lee (08) G2, E2 and B2 across Tc -- (quenched case) e/T4 p/T4 Lattice result for purge gauge (Boyd et al 96)

  6. Shifman NPB73 (80) W(S-T) = 1- <a/p E2> (ST)2 +… W(S-S) = 1- <a/p B2> (SS)2+… no change change If <E2> suddently increases across Tc, what will happen to J/y immersed in it ? E2 and B2 across Tc -- (relation to potentials ?) Manousakis, Polonyi, PRL 58 (87) 847 “Nonperturbative length scale in high T QCD” Time W(S-T) aExp(-bF) L Space L W(S-S) Space

  7. Hydrogen Atom in an external E field  <E2>T <E>external

  8. QCD 2nd order Stark Effect (Peskin, Luke, Manohar) D<a/p E2>T Attractive for ground state A non-perturbative method ?

  9. Basics in Heavy quark system Heavy quark propagation Perturbative treatment are possible because

  10. System with two heavy quarks Perturbative treatment are possible when

  11. Perturbative treatment are possible when

  12. For High T > 2 Tc Separation scale For small and T close to Tc Including Temperature effects

  13. A reliable non perturbative approach near Tc at q2 < 0 Morita, Lee: arXiv:0704.2021 (PRL 08) arXiv:0711.3998

  14. QCD sum rules for Heavy quark system T=0 Phenomenological side OPE r J/y Y’ s  predicted Mhc<MJ/y before experiment

  15. QCD sum rules for Heavy quark system T near Tc Phenomenological side OPE r J/y D<G2>+c<G2> Y’ s D<G2> <G2> Matching Mn-1/Mn from Phen to OPE  Obtain constraint for DmJ/y and G For Detail Kenji Morita’s Poster

  16. If G=0 Dm GeV If Dm=0 GMeV |Dm|+G =15xT, near Tc Constraint for J/y Mass and Width above Tc e/T4 p/T4

  17. From G =constraint-Dm (Stark effect) G QCD sum rule constraint with DG=0 Summary Due to the sudden change in gluon condensates, there will be a critical behavior of J/y near Tc, |Dm|+DG =150 MeV from Tc to Tc + 10 MeV • Model calculation is needed to get the changes separately,  Use QCD Stark Effect ?

  18. Summary 1. ‘Order parameter’ of QCD Phase transition: Critical behavior of J/y near Tc, mass shift and width broadening from QCD sum rules,  |Dm|+DG =200 MeV from 0.98Tc to 1.05Tc  with Stark effect: Dm=-100 MeV, G=100 MeV at 1.05Tc 2. A precursor phenomena takes place in nuclear matter  Mass shift could be observed through anti proton project at GSI 3. Consequences in HIC?. Non trivial effects expected to cc , y’, U, U’… • Remember the many findings from Stark, Zeeman, Anomalous Zeeman effects…  Challenges for future experiments and analysis !

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