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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 0705.2559[hep-ph]

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Can Quarkonia Survive Deconfinement?

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  1. RHIC/AGS Users Meeting @ BNL 06 20 07 Can Quarkonia Survive Deconfinement? Ágnes Mócsy

  2. RHIC/AGS Users Meeting @ BNL 06 20 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 0705.2559[hep-ph] 0706.2183[hep-ph] Content of This Talk

  3. RHIC/AGS Users Meeting @ BNL 06 20 07 what motivated this work

  4. RHIC/AGS Users Meeting @ BNL 06 20 07 • Quarkonium properties at high T interesting • proposed signal of deconfinement Matsui,Satz, PLB 86 • matter thermometer Karsch,Mehr,Satz, ZPhysC 88 • possibility of bound states in deconfined medium Shuryak,Zahed PRD 04 • Need to calculate quarkonium spectral function because • 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. RHIC/AGS Users Meeting @ BNL 06 20 07 c c Datta et al PRD 04 Datta et al PRD 04 Spectral Functions Asakawa, Hatsuda, PRL 04 Jakovác,Petreczky,Petrov,Velytsky, PRD 07 Datta, Karsch, Petreczky, Wetzorke PRD 04 Aarts, Allton, Oktay, Peardon, Skullerud hep-lat/0705.2198 see talk by Péter Petreczky Correlators • Conclusions drawn from analysis of lattice data: • J/ and c survive up to 2 Tc  “quarkonium survival” • c melts by 1.1 Tc • b melts by 1.1 Tc “b puzzle” • based on spectral functions from MEM and (un)modifications of G/Grec “J/ survival” in LQCD

  6. RHIC/AGS Users Meeting @ BNL 06 20 07 series of potential model studies with potentials connected to lattice free and internal energy Shuryak,Zahed PRD 04 Wong, PRC 05 Alberico et al PRD 05 Cabrera, Rapp 06 Alberico et al PRD 07 Wong,Crater PRD 07 • Conclusions • states survive • dissociation temperatures quoted • agreement with lattice is claimed Wong,Crater, PRD 07 “J/ survival” in Potential Models

  7. RHIC/AGS Users Meeting @ BNL 06 20 07 use a simplified model: discrete bound states + perturbative continuum Mócsy,Petreczky EJPC 05 PRD 06 model lattice 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? Our Initial Attempt

  8. RHIC/AGS Users Meeting @ BNL 06 20 07 our recent approach to determine quarkonium properties

  9. RHIC/AGS Users Meeting @ BNL 06 20 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. RHIC/AGS Users Meeting @ BNL 06 20 07  (GeV) +  bound states/resonances &  continuum above threshold PDG 06 PDG 06  ~ MJ/ , s0 nonrelativistic   s0 perturbative nonrelativistic Green’s function Spectral Function

  11. RHIC/AGS Users Meeting @ BNL 06 20 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- and scattering states, threshold effects together with relativistic perturbative continuum Spectral Function

  12. RHIC/AGS Users Meeting @ BNL 06 20 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. RHIC/AGS Users Meeting @ BNL 06 20 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 also motivated by Megías,Arriola,Salcedo PRD07 subtract entropy Constructing the Potential at T>Tc

  14. RHIC/AGS Users Meeting @ BNL 06 20 07 quarkonia in a gluon plasma

  15. RHIC/AGS Users Meeting @ BNL 06 20 07 lattice Jakovác,Petreczky, Petrov,Velytsky, PRD07 Mócsy, Petreczky hep-ph/0705.2559 • 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. RHIC/AGS Users Meeting @ BNL 06 20 07 details cannot be resolved Mócsy, Petreczky hep-ph/0705.2559 • 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. RHIC/AGS Users Meeting @ BNL 06 20 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 hep-ph/0705.2559 LQCD measures correlators spectral function unchanged across deconfinement or… integrated area under spectral function unchanged S-wave Charmonium in Gluon Plasma

  18. RHIC/AGS Users Meeting @ BNL 06 20 07 constant contribution in the correlator at finite T so look at the derivative following Umeda 07 quark number susceptibility 1.5 Tc c b • Threshold enhancement of spf compensates for dissolution of states • Agreement with lattice data for scalar charmonium and bottomonium •  b “puzzle” resolved Agreement for P-wave as well

  19. RHIC/AGS Users Meeting @ BNL 06 20 07 charm 1.5 Tc in free theory bottom 1.5 Tc >> deconfined confined behavior explained using ideal gas expression for susceptibilities: indicates deconfined heavy quarks carry the quark-number at 1.5 Tc P-wave

  20. RHIC/AGS Users Meeting @ BNL 06 20 07 quarkonia in a quark-gluon plasma

  21. RHIC/AGS Users Meeting @ BNL 06 20 07 J/  • J/ 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

  22. RHIC/AGS Users Meeting @ BNL 06 20 07 upper limits on dissociation temperatures

  23. RHIC/AGS Users Meeting @ BNL 06 20 07 Find upper limit for binding need strongest confining effects = largest possible rmed 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

  24. RHIC/AGS Users Meeting @ BNL 06 20 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

  25. RHIC/AGS Users Meeting @ BNL 06 20 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

  26. RHIC/AGS Users Meeting @ BNL 06 20 07 Upper bounds on dissociation temperatures condition: thermal width > 2x binding energy Can Quarkonia Survive?

  27. RHIC/AGS Users Meeting @ BNL 06 20 07 Quarkonium spectral functions can be calculated within a potential model with screening - reliable 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 are 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

  28. RHIC/AGS Users Meeting @ BNL 06 20 07 ****The END****

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