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Can Quarkonia Survive Deconfinement?

Can Quarkonia Survive Deconfinement?. Ágnes Mócsy. what motivated this work our approach to determine quarkonium properties quarkonia in a gluon plasma quarkonia in a quark-gluon plasma upper limits on dissociation temperatures. Á. Mócsy, P. Petreczky arXiv: 0705.2559 [hep-ph]

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Can Quarkonia Survive Deconfinement?

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  1. SQM @ Levoca 06 28 07 Can Quarkonia Survive Deconfinement? Ágnes Mócsy

  2. SQM @ Levoca 06 28 07 • what motivated this work • our approach to determine quarkonium properties • quarkonia in a gluon plasma • quarkonia in a quark-gluon plasma • upper limits on dissociation temperatures Á. Mócsy, P. Petreczky arXiv: 0705.2559 [hep-ph] arXiv: 0706.2183 [hep-ph] Content of This Talk

  3. SQM @ Levoca 06 28 07 what motivated this work

  4. SQM @ Levoca 06 28 07 • 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 • 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 Introduction

  5. SQM @ Levoca 06 28 07 c c Datta et al PRD 04 Datta et al PRD 04 Spectral Functions Asakawa, Hatsuda, PRL 04 Jakovác, et al, PRD 07 extracted from Datta et al PRD 04 Aarts et al hep-lat/0705.2198 Correlators see talk by Péter Petreczky • Conclusions drawn from analysis of lattice data were • J/ and c survive up to 2 Tc “quarkonium survival” • c melts by 1.1 Tc • based on (un)modifications of G/Grec and spectral functions from MEM “J/ survival” in LQCD

  6. SQM @ Levoca 06 28 07 series of potential model studies • Conclusions • states survive • dissociation temperatures quoted • agreement with lattice is claimed Shuryak,Zahed PRD 04 Wong, PRC 05 Alberico et al PRD 05 Cabrera, Rapp 06 Alberico et al PRD 07 Wong,Crater PRD 07 Wong,Crater, PRD 07 “J/ survival” in Potential Models

  7. SQM @ Levoca 06 28 07 use a simplified model: discrete bound states + perturbative continuum Mócsy,Petreczky EJPC 05 PRD 06 model lattice it is not enough to have “surviving state” correlators calculated in this approach do not agree with lattice • What is the source of these inconsistencies? • validity of potential models? • finding the right potential? • relevance of screening for quarkonia dissociation? First Indication of Inconsistency

  8. SQM @ Levoca 06 28 07 our recent approach to determine quarkonium properties

  9. SQM @ Levoca 06 28 07  (GeV)  bound states/resonances &  continuum above threshold PDG 06  ~ MJ/ , s0 nonrelativistic medium effects - important near threshold re-sum ladder diagrams first in vector channel Strassler,Peskin PRD 91 also Casalderrey-Solana,Shuryak 04 S-wave nonrelativistic Green’s function P-wave S-wave also Cabrera,Rapp 07 Spectral Function

  10. SQM @ Levoca 06 28 07  (GeV) +  bound states/resonances &  continuum above threshold PDG 06 PDG 06  ~ MJ/ , s0 nonrelativistic   s0 perturbative nonrelativistic Green’s function Spectral Function

  11. SQM @ Levoca 06 28 07  (GeV) +  bound states/resonances &  continuum above threshold PDG 06  ~ MJ/ , s0 nonrelativistic   s0 perturbative smooth matching details do not influence the result nonrelativistic Green’s function + pQCD Unified treatment: bound states, threshold effects together with relativistic perturbative continuum Spectral Function

  12. SQM @ Levoca 06 28 07 QCD m mv NRQCD mv2 pNRQCD potential model T=0 potential can be derived Brambilla et al, CERN Yellow Report 05 T0 hierarchy of energy scales Cornell potential • describes quarkonium spectra • confirmed on lattice Potential at T=0

  13. SQM @ Levoca 06 28 07 T>0 potential is unknown use a phenomenological potential constrained by lattice data Free energy - contains negative entropy contribution - provides a lower limit for the potential see talk by Péter Petreczky Potential assumed to share general features with thefree energy no temperature effects strong screening effects subtract entropy also motivated by Megías,Arriola,Salcedo PRD07 Constructing the Potential at T>Tc

  14. SQM @ Levoca 06 28 07 quarkonia in a gluon plasma (quenched QCD)

  15. SQM @ Levoca 06 28 07 lattice Jakovác,Petreczky, Petrov,Velytsky, PRD07 Mócsy, Petreczky 0705.2559 [hep-ph] • higher excited states gone • continuum shifted • 1S becomes a threshold enhancement c • resonance-like structures disappear already by 1.2Tc • strong threshold enhancement • contradicts previous claims S-wave Charmonium in Gluon Plasma

  16. SQM @ Levoca 06 28 07 details cannot be resolved Mócsy, Petreczky 0705.2559 [hep-ph] • resonance-like structures disappear already by 1.2Tc • strong threshold enhancement above free case indication of correlation • height of bump in lattice and model are similar S-wave Charmonium in Gluon Plasma

  17. SQM @ Levoca 06 28 07 N.B.: 1st time 2% agreement between model and lattice correlators for all states at T=0 and T>Tc Unchanged LQCD correlators do not imply quarkonia survival: Lattice data consistent with charmonium dissolution just above Tc Mócsy, Petreczky 0705.2559 [hep-ph] LQCD measures correlators spectral function unchanged across deconfinement or… integrated area under spectral function unchanged S-wave Charmonium in Gluon Plasma

  18. SQM @ Levoca 06 28 07 quarkonia in a quark-gluon plasma (full QCD)

  19. SQM @ Levoca 06 28 07 c  • J/, c at 1.1Tc is just a threshold enhancement • (1S) survives up to ~2Tc with unchanged peak position, • but reduced binding energy • Strong enhancement in threshold region - Q and antiQ remain correlated S-wave Quarkonium in QGP

  20. SQM @ Levoca 06 28 07 upper limits on dissociation temperatures

  21. SQM @ Levoca 06 28 07 Find upper limit for binding need strongest confining effects = largest possible rmed distance where deviation from T=0 potential starts rmed = distance where exponential screening sets in NOTE: uncertainty in potential - have a choice for rmed or V∞ our choices physically motivated all yield agreement with correlator data Most Binding Potential

  22. SQM @ Levoca 06 28 07 strong binding weak binding • When binding energy drops below T • state is weakly bound • thermal fluctuations can destroy the resonance Upsilon remains strongly bound up to 1.6Tc Other states are weakly bound above 1.2Tc Binding Energy Upper Limits

  23. SQM @ Levoca 06 28 07  Rate of escape into the continuum due to thermal activation = thermal width  related to the binding energy Kharzeev, McLerran, Satz PLB 95 for weak binding Ebin<T for strong binding Ebin>T Thermal Dissociation Widths

  24. SQM @ Levoca 06 28 07 Upper bounds on dissociation temperatures condition: thermal width > 2x binding energy Can Quarkonia Survive?

  25. SQM @ Levoca 06 28 07 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 Tc Contrary to previous statements, we find that all states except  and b are dissolved by at most 1.3 Tc 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 Conclusions

  26. SQM @ Levoca 06 28 07 ****The END****

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