1 / 28

Heavy quark system near Tc

Heavy quark system near Tc. Su Houng Lee In collaboration with Kenji Morita Also, thanks to group members: Present: T. Song, K.I. Kim, W.S. Park, H. Park, K. Jeong Former: K. Ohnishi, S. Yasui, Y. Song. Early work on J/ y (Hashimoto, Miyamura, Hirose, Kanki).

tobias
Download Presentation

Heavy quark system near Tc

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Heavy quark system near Tc Su Houng Lee In collaboration with Kenji Morita Also, thanks to group members: Present: T. Song, K.I. Kim, W.S. Park, H. Park, K. Jeong Former: K. Ohnishi, S. Yasui, Y. Song

  2. Early work on J/y(Hashimoto, Miyamura, Hirose, Kanki)

  3. J/y in Quark-gluon plasma • Matsui and Satz: J/y will dissolve at Tc due to color screening • Lattice MEM : Asakawa, Hatsuda, Karsch, Petreczky …. • J/y will survive Tc and dissolve at 2 Tc • Potential models (Wong …) : • Consistent with MEM Wong. • Refined Potential models with lattice (Mocsy, Petreczky…) • : J/y will dissolve slightly above Tc • Lattice after zero mode subtraction (WHOT-QCD) • : J/y wave function hardly changes at 2.3 Tc • AdS/QCD (Kim, Lee, Fukushima ..) • : J/y mass change • And so on ……….

  4. Comparison with experimental data of RHIC (√s=200 GeV at midrapidity)T. Song (preliminary)

  5. Some perspectives on sQGP and relation to deconfinement

  6. sQGP J/y sQGP Some perspectives from Lattice data on (e , p) near Tc • Lattice data (Karsch et al) vs. Resummed perturbation (Blaizot et al.) Karsch hep-lat/0106019 • Operator representation: Gluon condensates

  7. M0 and Bag pressure • M0 and Gluon condensate Dominated by non perturbative change at Tc SHLee PRD40,2484(89)

  8. Time W(S-T)  exp(-b V(T)) OPE  1- <a/p E2> (ST)2 +… L Space L W(S-S) OPE 1- <a/p B2> (SS)2+… Space • Relation to Electric and Magnetic condensate Kaczmareket al (prd04) <a/p B2>T =0 <a/p E2>T • Relation to deconfinement

  9. Heavy quark system in sQGP OPE, QCD Stark Effect, and QCD sum rules

  10. Large increase in E2 Vacuum with negative pressure Heavy quark system near Tc QCD vacuum sQGP at Tc MIT Bag

  11. Heavy quark correlation function P(q2) • Definition • Operator product expansion (OPE) • OPE makes sense when • Even at finite temperature or as long as

  12. q2=0 : photo production of open charm • q2=m2J/y : OPE for bound state (Peskin 79) • -q2 >0 : QCD sum rules for heavy quarks

  13. q2=m2J/y : OPE for bound state (Peskin 79)

  14. = QCD 2nd order Stark Effect : e > Lqcd • OPE for bound state: m infinity • Attractive for ground state

  15. 2nd order Stark effect from pNRQCD • LO Singlet potential from pNRQCD : Brambilla et al. 1/r > Binding > LQCD, • Derivation • Take expectation value • Large Nc limit • Static condensate • Energy • 

  16. -q2 >0 : QCD sum rules for heavy quarks

  17. Q2=-q2>0, QCD sum rules for Heavy quark system • sum rule at T=0 : can take any Q2 >=0, Phenomenological side OPE r J/y Y’ s

  18. sum rule 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

  19. QCD sum rule constraint (Morita, Lee 08) G [MeV] G [MeV] Dm [MeV] Dm [MeV]

  20. D M y G (MeV) / J GeV NLO QCD Song (07) T/Tc G Mass and width of J/y near Tc (Morita, Lee 08) Summary Dm from QCD Stark Effect QCD sum rule limit with DG =0 G =constraint-Dm (Stark effect)

  21. Prediction from the bottom-up AdS/QCD model Deconfinement + temperature effects. Effect of gluon condensate is missing. So, above Tc detailed study about the competition between the temperature and gluon condensate should be done . YK, J.-P. Lee, and S. H. Lee, PRD (2007)

  22. OPE breaks down S-wave vs. P-waves Summary

  23. bb system Summary

  24. Experimental observation from RHIC is difficult at present 1. Expected mass shift for J/y is order 50 MeV at Tc 2. Larger effect for excited states 3. Small effect for U but larger cb

  25. RHIC energy scan FAIR Gluon condensate in nuclear matter • Linear density approximation • Gluon condensate at finite density

  26. Other approaches for mass shift in nuclear matter

  27. Anti proton Heavy nuclei Expected luminosity at GSI2x 1032cm-2s-1 Observation of Dm through p-A reaction Can be done at J-PARC

  28. Summary • Properties of QQ system in sQGP is still controversial • The mass and width will suddenly change at Tc  different for s p wave and bottonium  can probe confinement physics • Partial observation at nuclear matter through p A reaction might be possible. FAIR, J-PARC • A new constraint for heavy quark system near Tc

More Related