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Understanding Quarkonium Survival in Gluon Plasma: Spectral Function Insights

This study explores the survival of quarkonium states in gluon plasma through spectral function analysis. Conducted by Ágnes Mócsy and collaborators, it delves into the effects of the hot medium on quarkonium modification, focusing on the implications of Debye screening and quarkonium dissociation. Using a nonrelativistic Green’s function approach, this research highlights the significance of spectral functions in understanding binding energy hierarchies and introduces new potential models and calculations aimed at deciphering quarkonium properties at finite temperatures.

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Understanding Quarkonium Survival in Gluon Plasma: Spectral Function Insights

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  1. Quark Matter 06 Quarkonium Survival in a Gluon Plasma:Spectral Function Analysis Ágnes Mócsy with Péter Petreczky (BNL) and Jorge Casalderrey-Solana (LBNL)

  2. Quark Matter 06 c(1P) J/(1S) ’(2S) b’(2P) ’’(3S) b(1P) (1S) r21/2 fm 0.9 0.7 0.4 0.2 T Quarkonium - could probe deconfinement must understand its modification in a hot medium !  Traditionally - Debye screening in qgp rDebye rquarkonium quarkonium dissociation  Hierarchy in binding energy - qgp thermometer • Our approach - use spectral function - contains all info - from full nonrelativistic Green’s function also: Matsui,Satz 86 Karsch,Mehr,Satz 88 Satz 06 AM, Petreczky, hep-ph/0606053 AM, Petreczky, Casalderrey-Solana, hep-ph/0609205,hep-ph/0612… Strassler,Peskin 91; Casalderrey-Solana,Shuryak 04; Cabrera, Rapp 06; Wong 06 motivation for this study

  3. Quark Matter 06 PDG 06  T0spectral function NA50  T0 heavy ion dilepton rates  defined through the meson propagator measured on the lattice motivation - why spectral function

  4. Quark Matter 06 mass mQ  QCD Q velocity v 1 nonrelativistic QCD m mv NRQCD mv2 pNRQCD potential model 1/mv ~ tgluon 1/mv2 ~ tquarkonium models valid if tgluon tquarkonium “instantaneous interaction”  T0 hierarchy of energy/timescales potential can be derived potential model

  5. Quark Matter 06 mass mQ  QCD Q velocity v 1 nonrelativistic models valid if tgluon tquarkonium “instantaneous interaction” • T0 ??? no analogous effective theory: extra scales T, gT, g2T make derivation too complicated potential is unknown assume a phenomenological potential: (T) = mD Karsch,Mehr,Satz 88 (T) model parameter AM,Petreczky 05 other potentials Shuryak,Zahed; Alberico,Rapp; Wong; Nardi; potential models T0

  6. Quark Matter 06 +  goal: calculate the spectral function at finite T PDG 06 M (GeV) bound states/resonances continuum  ~ MJ/ - nonrelativistic   MJ/ - perturbative match medium effects in the gluon propagator  nonrelativistic Green’s function - contains all states spectral function approach

  7. Quark Matter 06 • pure gluon plasma Jakovác,Petreczky,Petrov,Velytsky,hep-lat/0611017 talk by K. Petrov c spectral function T0

  8. Quark Matter 06  pure gluon plasma  c spectral function TTc

  9. Quark Matter 06 • higher excited states gone • continuum shifted • 2S becomes merely a threshold enhancement Jakovác et al hep-lat/0611017  ground state identified • spf unchanged within errors, but details cannot be resolved • strong modification of 1S incompatible w/ data c spectral function TTc

  10. Quark Matter 06  correlation of hadronic currents G/Grecon 1 means spectral function unchanged Jakovác et al hep-lat/0611017  calculated and lattice correlators not compatible up to 1.5Tc decrease in correlator due to 1S amplitude reduction - not seen on the lattice c correlator

  11. Quark Matter 06 • lattice spectral function not yet reliable Jakovác et al hep-lat/0611017 • 1S survives with decrease in amplitude & some shift in mass b spectral function

  12. Quark Matter 06  no agreement at all with the lattice data Jakovác et al hep-lat/0611017 b correlator

  13. Quark Matter 06 • if the ground state properties are unchanged at finite T then the lattice correlators are recovered • dissolution of excited states is compensated by threshold reduction  lattice correlator compatible w/ dissolution of higher excited states AM hep-ph/0606124 if 1S unchanged

  14. Quark Matter 06 • we calculated the quarkonium spectral function • nonrelativistic Green’s function + relativistic continuum useful apparatus to study quarkonium properties in medium • we found that: • potentials don’t agree with lattice quarkonium data at finite T - tgluon  tquarkoniumnot satisfied need to think harder • the dissolution of higher excited states is compensated by threshold reduction • lattice correlator compatible w/ dissolution of higher excited states • future: • “short distance confinement” • pNRQCD at finite T ?! • finite momentum: quarkonium in motion concluding/closing remarks

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