Can Quarkonia Survive Deconfinement? Ágnes Mócsy - RBRC July 16th-19th, 2007 McGill University, Montréal, Canada Can Quarkonia Survive Deconfinement? July 2007 Early Time Dynamics Montreal AM Ágnes Mócsy

Ágnes Mócsy - RBRC Motivation

offering new direction in which models can be modified Ágnes Mócsy - RBRC revisit how we got to “J/ survives up to 2Tc” from the same data get very different conclusion offering new direction in which models can be modified In this talk

a more detailed motivation Ágnes Mócsy - RBRC a more detailed motivation

quarkonium discussed in terms of potential model Ágnes Mócsy - RBRC 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 confined deconfined J/ r V(r) The Matsui-Satz argument: Debye screening in the deconfined matter leads to quarkonium dissociation when rDebye rQuarkonium quarkonium discussed in terms of potential model Introduction

Introduction Quarkonium properties at high T interesting Ágnes Mócsy - RBRC 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 RBC-Bielefeld Collaboration 2007 Static quark-antiquark free energy Nf=2+1 Screening seen in lattice QCD see talk by Péter Petreczky Introduction

Introduction Quarkonium properties at high T interesting Ágnes Mócsy - RBRC 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 energies T 0.9 fm 0.7 fm 0.4 fm 0.2 fm J/(1S) c(1P) ’(2S) b(1P) b’(2P) (1S) ’’(3S) Quarkonia melting as QGP thermometer Introduction

Introduction Quarkonium properties at high T interesting Ágnes Mócsy - RBRC 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

“J/ survival” in LQCD Lattice Spectral Functions Ágnes Mócsy - RBRC Lattice Spectral Functions Asakawa, Hatsuda, PRL 04 see talk by Péter Petreczky Datta et al PRD 04 Conclusion: 1S ground state survives above TC Jakovác et al, PRD 07 Aarts et al hep-lat/0705.2198 “J/ survival” in LQCD

“J/ survival” in LQCD Lattice Spectral Functions large uncertainties Ágnes Mócsy - RBRC Lattice Spectral Functions Asakawa, Hatsuda, PRL 04 large uncertainties not directly measured extracted from correlators through MEM see talk by Péter Petreczky Datta et al PRD 04 Jakovác et al, PRD 07 Aarts et al hep-lat/0705.2198 “J/ survival” in LQCD

“J/ survival” in LQCD c Temperature dependence of correlators Ágnes Mócsy - RBRC Temperature dependence of correlators c G/Grec  1 implies modified spectral function Jakovác et al, PRD 07 Conclusions drawn from analysis of lattice data were c melts by 1.1 Tc based on modification of G/Grec and spectral functions from MEM “J/ survival” in LQCD

Temperature dependence of correlators Ágnes Mócsy - RBRC Temperature dependence of correlators ? G/Grec = 1 implied unchanged spectral function c c Jakovác et al, PRD 07 Jakovác et al, PRD 07 Conclusions drawn from analysis of lattice data were c melts by 1.1 Tc J/ and c survive up to 1.5-2Tc  “J/ survival” based on (un)modification of G/Grec and spectral functions from MEM “J/ survival” in LQCD

“J/ survival” in Potential Models Ágnes Mócsy - RBRC 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

Strong screening of Q and antiQ interaction seen on lattice Ágnes Mócsy - RBRC Strong screening of Q and antiQ interaction seen on lattice yet some quarkonium states still survive unaffected?

First Indication of Inconsistency Ágnes Mócsy - RBRC simplified spectral function: discrete bound states + perturbative continuum T = 0 T Tc Mócsy,Petreczky EJPC 05 Mócsy,Petreczky PRD 06 model lattice also Cabrera, Rapp 06 Correlators calculated in this approach do not agree with lattice It is not enough to have “surviving state” First Indication of Inconsistency

What is the source of these inconsistencies? Ágnes Mócsy - RBRC What is the source of these inconsistencies? validity of potential models? finding the right potential? relevance of screening for quarkonia dissociation?

our recent approach to determine quarkonium properties Ágnes Mócsy - RBRC our recent approach to determine quarkonium properties Á. Mócsy, P. Petreczky 0705.2559 [hep-ph] 0706.2183 [hep-ph]

Spectral Function  bound states/resonances & Ágnes Mócsy - RBRC  bound states/resonances &  continuum above threshold  (GeV) 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

Spectral Function  bound states/resonances & Ágnes Mócsy - RBRC  bound states/resonances &  continuum above threshold  (GeV) PDG 06 PDG 06  ~ MJ/ , s0 nonrelativistic   s0 perturbative + nonrelativistic Green’s function Spectral Function

Spectral Function  bound states/resonances & Ágnes Mócsy - RBRC  bound states/resonances &  continuum above threshold  (GeV) 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

Constructing the Potential at T>Tc Ágnes Mócsy - RBRC Phenomenological potential constrained by lattice data Free energy - contains negative entropy contribution - provides a lower limit for the potential Potential assumed to share general features with the free energy strong screening effects no temperature effects subtract entropy also motivated by Megías,Arriola,Salcedo PRD07 Constructing the Potential at T>Tc

quarkonia in a gluon plasma (quenched QCD) Ágnes Mócsy - RBRC quarkonia in a gluon plasma (quenched QCD)

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

S-wave Charmonium in Gluon Plasma Ágnes Mócsy - RBRC Mócsy, Petreczky 0705.2559 [hep-ph] details cannot be resolved 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

S-wave Charmonium in Gluon Plasma Ágnes Mócsy - RBRC 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

P states b “the b puzzle” b same size as the J/, so Ágnes Mócsy - RBRC Jakovác et al, PRD 07 b “the b puzzle” b same size as the J/, so why are the b and J/ correlators so different ? P states

Agreement for P-wave as well Ágnes Mócsy - RBRC 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 in spf compensates for dissolution of states Agreement with lattice data for scalar charmonium and bottomonium Agreement for P-wave as well

P-wave  b “puzzle” resolved Ágnes Mócsy - RBRC charm 1.5 Tc in free theory bottom 1.5 Tc >> deconfined confined  b “puzzle” resolved behavior explained using ideal gas expression for susceptibilities: indicates deconfined heavy quarks carry the quark-number at 1.5 Tc P-wave

quarkonia in a quark-gluon plasma (full QCD) Ágnes Mócsy - RBRC quarkonia in a quark-gluon plasma (full QCD)

S-wave Quarkonium in QGP Ágnes Mócsy - RBRC 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

upper limits on dissociation temperatures Ágnes Mócsy - RBRC upper limits on dissociation temperatures

Most Binding Potential Ágnes Mócsy - RBRC 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

Binding Energy Upper Limits Ágnes Mócsy - RBRC When binding energy drops below T state is weakly bound thermal fluctuations can destroy the resonance strong binding weak binding Upsilon remains strongly bound up to 1.6Tc Other states are weakly bound above 1.2Tc Binding Energy Upper Limits

Thermal Dissociation Widths Ágnes Mócsy - RBRC 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

Can Quarkonia Survive? Upper bounds on dissociation temperatures Ágnes Mócsy - RBRC Upper bounds on dissociation temperatures condition: thermal width > 2x binding energy Can Quarkonia Survive?

Ágnes Mócsy - RBRC 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 by ~1.3Tc 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 see also Laine,hep-ph/0704.1720 Brau,Buisseret,hep-ph/0706.4012 Conclusions

Ágnes Mócsy - RBRC ****The END****