1. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 1 Quarkonium Properties Above Deconfinement Quarkonium Properties Above Deconfinement Ágnes Mócsy Zim á nyi 75 MEMORIAL WORKSHOP ON HADRONIC and QUARK MATTER July 2 - 4 (Mon - Wed), 2007 Budapest, Hungary Zim á nyi 75 MEMORIAL WORKSHOP ON HADRONIC and QUARK MATTER July 2 - 4 (Mon - Wed), 2007 Budapest, Hungary

2. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 2 MotivationMotivation

3. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 3 MotivationMotivation revisit how we got to “J/psi survives up to 2T c ” from same data get very different conclusion revisit how we got to “J/psi survives up to 2T c ” from same data get very different conclusion offering new direction in which models can be modified

4. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 4 a more detailed motivation

5. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 5 IntroductionIntroduction Debye screening in the deconfined matter leads to quarkonium dissociation when r Debye  r Quarkonium confined deconfined J/  r V(r) The Matsui-Satz argument: Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04

6. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 6 IntroductionIntroduction Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Static quark-antiquark free energy RBC-Bielefeld Collaboration 2007 N f =2+1 Screening seen in lattice QCD

7. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 7 IntroductionIntroduction Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Hierarchy in binding energiesT 0.9 fm 0.7 fm 0.4 fm 0.2 fm J/  (1S)  c (1P)  ’(2S)  b (1P)  b ’(2P)  (1S)  ’’(3S) Quarkonia as QGP thermometer

8. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 8 IntroductionIntroduction Need to calculate quarkonium spectral function quarkonium well defined at T=0, but can broaden at finite T spectral function contains all information about a given channel unified treatment of bound states, threshold, continuum can be related to experiments Need to calculate quarkonium spectral function quarkonium well defined at T=0, but can broaden at finite T spectral function contains all information about a given channel unified treatment of bound states, threshold, continuum can be related to experiments Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04 Quarkonium properties at high T interesting proposed signal of deconfinement Matsui,Satz, PLB 86 matter thermometer ?! Karsch,Mehr,Satz, ZPhysC 88 bound states in deconfined medium ?! Shuryak,Zahed PRD 04

9. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 9 “J/  survival” in LQCD Conclusions drawn from analysis of lattice data were J/  and  c survive up to ~1.5-2T c  “J/  survival”  c melts by 1.1 T c based on (un)modification of G/G rec and spectral functions from MEM Conclusions drawn from analysis of lattice data were J/  and  c survive up to ~1.5-2T c  “J/  survival”  c melts by 1.1 T c based on (un)modification of G/G rec and spectral functions from MEM cc cc Asakawa, Hatsuda, PRL 04 Datta et al PRD 04 Jakovác et al, PRD 07 Aarts et al hep-lat/0705.2198 Spectral Functions Correlators extracted from Jakovác et al, PRD 07

10. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 10 “J/  survival” in Potential Models Shuryak,Zahed PRD 04 Wong, PRC 05 Alberico et al PRD 05 Cabrera, Rapp 06 Alberico et al PRD 07 Wong,Crater PRD 07 series of potential model studies Conclusions states survive dissociation temperatures quoted agreement with lattice is claimed Conclusions states survive dissociation temperatures quoted agreement with lattice is claimed Wong,Crater, PRD 07

11. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 11 First Indication of Inconsistency simplified spectral function: discrete bound states + perturbative continuum What is the source of these inconsistencies? validity of potential models? finding the right potential? relevance of screening for quarkonia dissociation? Mócsy,Petreczky EJPC 05 and PRD 06 modellattice it is not enough to have “surviving state” correlators calculated in this approach do not agree with lattice it is not enough to have “surviving state” correlators calculated in this approach do not agree with lattice T = 0 T  T c

12. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 12 our recent approach to determine quarkonium properties Á. Mócsy, P. Petreczky 0705.2559 [hep-ph] 0706.2183 [hep-ph]

13. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 13 Spectral Function  bound states/resonances &  continuum above threshold  (GeV) nonrelativistic Green’s function  ~ M J/ , s 0 nonrelativistic S-wave P-wave medium effects - important near threshold PDG 06 re-sum ladder diagrams first in vector channel Strassler,Peskin PRD 91 also Casalderrey-Solana,Shuryak 04 S-wave also Cabrera,Rapp 07

14. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 14 Spectral Function +   s 0 perturbative  bound states/resonances &  continuum above threshold  (GeV) nonrelativistic Green’s function  ~ M J/ , s 0 nonrelativistic PDG 06

15. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 15 Spectral Function Unified treatment: bound states, threshold effects together with relativistic perturbative continuum Unified treatment: bound states, threshold effects together with relativistic perturbative continuum  bound states/resonances &  continuum above threshold  (GeV) +   s 0 perturbative  ~ M J/ , s 0 nonrelativistic smooth matching details do not influence the result nonrelativistic Green’s function + pQCD PDG 06

16. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 16 no temperature effects Constructing the Potential at T>T c Potential assumed to share general features with the free energy also motivated by Megías,Arriola,Salcedo PRD07 strong screening effects Free energy - contains negative entropy contribution - provides a lower limit for the potential see talk by Péter Petreczky T>0 potential is unknown use a phenomenological potential constrained by lattice data T>0 potential is unknown use a phenomenological potential constrained by lattice data subtract entropy

17. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 17 quarkonia in a gluon plasma (quenched QCD)

18. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 18 S-wave Charmonium in Gluon Plasma resonance-like structures disappear already by 1.2T c strong threshold enhancement contradicts previous claims resonance-like structures disappear already by 1.2T c strong threshold enhancement contradicts previous claims  higher excited states gone  continuum shifted  1S becomes a threshold enhancement lattice Jakovác,Petreczky, Petrov,Velytsky, PRD07 cc Mócsy, Petreczky 0705.2559 [hep-ph]

19. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 19 S-wave Charmonium in Gluon Plasma resonance-like structures disappear already by 1.2T c strong threshold enhancement above free case indication of correlation height of bump in lattice and model are similar resonance-like structures disappear already by 1.2T c strong threshold enhancement above free case indication of correlation height of bump in lattice and model are similar details cannot be resolved Mócsy, Petreczky 0705.2559 [hep-ph]

20. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 20 S-wave Charmonium in Gluon Plasma Mócsy, Petreczky 0705.2559 [hep-ph] spectral function unchanged across deconfinement LQCD measures correlators N.B.: 1st time 2% agreement between model and lattice correlators for all states at T=0 and T>T c Unchanged LQCD correlators do not imply quarkonia survival: Lattice data consistent with charmonium dissolution just above T c N.B.: 1st time 2% agreement between model and lattice correlators for all states at T=0 and T>T c Unchanged LQCD correlators do not imply quarkonia survival: Lattice data consistent with charmonium dissolution just above T c or… integrated area under spectral function unchanged

21. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 21 P states bb “the  b puzzle”  b same size as the J/ , so why are the  b and J/  correlators so different ? “the  b puzzle”  b same size as the J/ , so why are the  b and J/  correlators so different ? Jakovác et al, PRD 07

22. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 22 Agreement for P-wave as well so look at the derivative following Umeda 07 constant contribution in the correlator at finite T quark number susceptibility 1.5 T c Threshold enhancement of spf compensates for dissolution of states Agreement with lattice data for scalar charmonium and bottomonium Threshold enhancement of spf compensates for dissolution of states Agreement with lattice data for scalar charmonium and bottomonium cc bb

23. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 23 P-waveP-wave >> deconfinedconfined in free theory behavior explained using ideal gas expression for susceptibilities: indicates deconfined heavy quarks carry the quark-number at 1.5 T c behavior explained using ideal gas expression for susceptibilities: indicates deconfined heavy quarks carry the quark-number at 1.5 T c charm 1.5 Tc bottom 1.5 Tc   b “puzzle” resolved

24. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 24 quarkonia in a quark-gluon plasma (full QCD)

25. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 25 S-wave Quarkonium in QGP J/ ,  c at 1.1T c is just a threshold enhancement  (1S) survives up to ~2T c with unchanged peak position, but reduced binding energy Strong enhancement in threshold region - Q and antiQ remain correlated J/ ,  c at 1.1T c is just a threshold enhancement  (1S) survives up to ~2T c with unchanged peak position, but reduced binding energy Strong enhancement in threshold region - Q and antiQ remain correlated  cc

26. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 26 upper limits on dissociation temperatures

27. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 27 Most Binding Potential need strongest confining effects = largest possible r med Find upper limit for binding r med = distance where exponential screening sets in NOTE: uncertainty in potential - have a choice for r med or V ∞ our choices physically motivated all yield agreement with correlator data distance where deviation from T=0 potential starts

28. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 28 Binding Energy Upper Limits Upsilon remains strongly bound up to 1.6T c Other states are weakly bound above 1.2T c Upsilon remains strongly bound up to 1.6T c Other states are weakly bound above 1.2T c weak binding When binding energy drops below T state is weakly bound thermal fluctuations can destroy the resonance strong binding

29. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 29 for weak binding E bin <T for strong binding E bin >T Thermal Dissociation Widths Rate of escape into the continuum due to thermal activation = thermal width   related to the binding energy Kharzeev, McLerran, Satz PLB 95 

30. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 30 Can Quarkonia Survive? Upper bounds on dissociation temperatures condition: thermal width > 2x binding energy Upper bounds on dissociation temperatures condition: thermal width > 2x binding energy

31. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 31 ConclusionsConclusions Quarkonium spectral functions can be calculated within a potential model with screening - description of quarkonium dissociation at high T Lattice correlators have been explained correctly for the 1st time Unchanged correlators do not imply quarkonia survival: lattice data consistent with charmonium dissolution just above T c Contrary to previous statements, we find that all states except  and  b are dissolved by at most 1.3 T c Threshold enhancement found: spectral function enhanced over free propagation =>> correlations between Q-antiQ may remain strong Outlook Implications for heavy-ion phenomenology need to be considered

32. Ágnes Mócsy - RBRCZimányi 75 Memorial Workshop, Budapest 07 03 07 32 ****The END****