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Predictions for Quarkonium Properties Above Deconfinement

Predictions for Quarkonium Properties Above Deconfinement. Ágnes Mócsy RIKEN-BNL. in collaboration with Péter Petreczky ref: hep-ph/0705.2559 and in preparation. Quarkonium properties at high T interesting proposed signal of deconfinement, matter thermometer,

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Predictions for Quarkonium Properties Above Deconfinement

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  1. Last Call for LHC Predictions @ CERN 05 31 07 Predictions for Quarkonium Properties Above Deconfinement Ágnes Mócsy RIKEN-BNL in collaboration with Péter Petreczky ref: hep-ph/0705.2559 and in preparation

  2. Last Call for LHC Predictions @ CERN 05 31 07 • Quarkonium properties at high T interesting • proposed signal of deconfinement, matter thermometer, • possibility of bound states in deconfined medium • Need to calculate quarkonia spectral function • quarkonium well defined at T=0, but can significantly broaden at finite temperature • contains all information about a given channel: unified treatment of bound states, threshold effects, and the continuum • can be related to experiments Introduction

  3. Last Call for LHC Predictions @ CERN 05 31 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 Casallderey-Solana,Shuryak,04 S-wave nonrelativistic Green’s function P-wave S-wave also Cabrera,Rapp 07 Spectral Function

  4. Last Call for LHC Predictions @ CERN 05 31 07  (GeV) +  bound states/resonances &  continuum above threshold PDG 06  ~ MJ/ , s0 nonrelativistic   s0 perturbative nonrelativistic Green’s function Spectral Function

  5. Last Call for LHC Predictions @ CERN 05 31 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

  6. Last Call for LHC Predictions @ CERN 05 31 07 Constrain the potential by lattice data what we know: Free energy of static Q-Qbar pair in deconfined phase Kaczmarek,Karsch,Zantow,Petreczky, PRD 04 no temperature effects strong screening effects Free energy - contains negative entropy contribution - provides a lower limit for the potential V(r,T) Constructing the Potential

  7. Last Call for LHC Predictions @ CERN 05 31 07 Constrain the potential by lattice data Potential assumed to share general features with the free energy no temperature effects strong screening effects also motivated by Megías,Arriola,Salcedo PRD07 Constructing the Potential

  8. Last Call for LHC Predictions @ CERN 05 31 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

  9. Last Call for LHC Predictions @ CERN 05 31 07 Mócsy, Petreczky hep-ph/0705.2559 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

  10. Last Call for LHC Predictions @ CERN 05 31 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” S-wave Charmonium in Gluon Plasma

  11. Last Call for LHC Predictions @ CERN 05 31 07 J/  • J/ at 1.1Tc is just a threshold enhancement •  survives up to ~2Tc with unchanged peak position, • but reduced binding energy • Strong enhancement in threshold region - Q and Qbar remain correlated S-wave Quarkonium in QGP

  12. Last Call for LHC Predictions @ CERN 05 31 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

  13. Last Call for LHC Predictions @ CERN 05 31 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

  14. Last Call for LHC Predictions @ CERN 05 31 07  Rate of escape into the continuum due to thermal activation:   related to the binding energy weak binding for weak binding: Ebin<T for strong binding Ebin>T Kharzeev, McLerran, Satz PLB 95  Thermal Dissociation Widths 

  15. Last Call for LHC Predictions @ CERN 05 31 07 Consequences for LHC Karsch et al J/ b ’  J/ survival 1.2Tc 1.2Tc 1.3Tc 2Tc  survival   lattice data does not necessarily imply survival of quarkonia all states except  and b are dissolved by 1.2 Tc Dissociation condition: thermal width > 2 binding energy upper limits Upsilon suppressed at LHC but less suppresed at RHIC Threshold is enhanced over free propagation =>> correlations between Q-Qbar may remain strong regeneration from primordially correlated, not independent Q-Qbar Conclusions

  16. Last Call for LHC Predictions @ CERN 05 31 07 ****The END****

  17. Last Call for LHC Predictions @ CERN 05 31 07 most recent results Jakovác,Petreczky,Petrov,Velytsky, PRD 07 pseudoscalar spf unchanged up to 1.5Tc within errors, but details cannot be resolved c c if spectral function unchanged across deconfinement Lattice etac

  18. Last Call for LHC Predictions @ CERN 05 31 07 most recent results pseudoscalar spf unchanged up to 1.5T within errors, but details cannot be resolved Jakovac,Petreczky,Petrov,Velytsky, PRD 07 Lattice Spectral Function

  19. Last Call for LHC Predictions @ CERN 05 31 07 b c LQCD measures correlators if spectral function unchanged across deconfinement b lattice data from Jakovác,Petreczky,Petrov,Velytsky, PRD 07 note on Correlators

  20. Last Call for LHC Predictions @ CERN 05 31 07 • gluon plasma with heavy quarks results for the c model lattice Jakovac,Petreczky,Petrov,Velytsky, PRD 07 ground state peak, excited states, and continuum identified reasonably good agreement between model and data T0 Spectral Function

  21. Last Call for LHC Predictions @ CERN 05 31 07 Most binding possibility J/  • Note the reduced binding energy for the J/ already at 1.2 Tc! • Even for maximal binding: J/ at 1.6 Tc is just a threshold enhancement •  survives up to ~2Tc with peak position unchanged • Also note strong enhancement in threshold region: • Q and Qbar remain correlated Most binding

  22. Last Call for LHC Predictions @ CERN 05 31 07 Spectral function at finite T from Lattice quenched QCD Euclidean correlation function Asakawa, Hatsuda, PRL 04 current knows about the channels spectral decomposition MEM Peak still present at J/ mass at 1.62Tc! Gone only at higher T Note: no T=0 data for comparison other features identified with lattice artifacts lQCD “J/ survival”

  23. Last Call for LHC Predictions @ CERN 05 31 07 look directly at the correlator if spectral function unchanged across deconfinement Datta,Karsch,Petreczky,Wetzorke, PRD 04 c c c survives to 2Tc & c melts at 1.1Tc lQCD Correlators

  24. Last Call for LHC Predictions @ CERN 05 31 07 Jakovac,Petreczky,Petrov,Velytsky, PRD 07 b b “the b puzzle” - same size as the J/ why are the b and J/ correlators so different lQCD Bottomonium

  25. Last Call for LHC Predictions @ CERN 05 31 07 recent full LQCD results show similar behavior S-waves survive up to 2Tc P-waves melt away below 1.2Tc Aarts,Allton,Oktay,Peardon,Skullerud, hep-lat/0705.2198 Full LQCD

  26. Last Call for LHC Predictions @ CERN 05 31 07 G does not depend on the parameters good agreement between model and data relativistic continuum seen on lattice this contradicts statements made in the recent literature T=0 Continuum in Quenched QCD

  27. Last Call for LHC Predictions @ CERN 05 31 07 ground state survives deconfinement other states dissolved medium modification of the 1S peak is small agreement found with lattice correlators Bottomonium

  28. Last Call for LHC Predictions @ CERN 05 31 07 constant contribution (Gilow) to the correlator at finite T so look at the derivative following Umeda 07 quark number susceptibility 1.5 Tc Threshold enhancement of spf compensates for dissolution of states Agreement with lattice data for scalar charmonium and bottomonium Scalar Channel

  29. Last Call for LHC Predictions @ CERN 05 31 07 charm 1.5 Tc in free theory bottom 1.5 Tc >> deconfined confined behavior explained using ideal gas expression for susceptibilities: seems to indicate deconfined heavy quarks carry the quark-number at 1.5 Tc Scalar Channel

  30. Last Call for LHC Predictions @ CERN 05 31 07 charm bottom • With this potential: • 1S charmonium peaks found unmodified at 1.2Tc • binding energy (Ebinding=s0-M) is small so dissociation by thermal fluctuations is likely • all states, except 1S bottomonium, are gone by 1.5Tc

  31. Last Call for LHC Predictions @ CERN 05 31 07 Internal Energy as Potential

  32. Last Call for LHC Predictions @ CERN 05 31 07 Screened Cornell

  33. Last Call for LHC Predictions @ CERN 05 31 07  admixture of free and internal energies Wong 05 • apparent agreement but 1.) reports 1S charmonium dissociation at 1.62Tc binding energy ~ 0.2MeV undetectable 2.) assumes only ground state contributes to correlation function contrary to lattice findings 3.) neglects contribution from the wave fct at the origin, which decreases when screened Wong Potential

  34. Last Call for LHC Predictions @ CERN 05 31 07 hybrid potentials in quenched QCD

  35. Last Call for LHC Predictions @ CERN 05 31 07 Petrov QM06 • big jump in the critical region huge increase in mass  no agreement w/ lattice Cabrera, Rapp hep-ph/0611134 internal energy as potential

  36. Last Call for LHC Predictions @ CERN 05 31 07 etab

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