Heavy quarkonia in quark-gluon plasma

Journal Article · Thu Sep 01 04:00:00 EDT 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.72.034906· OSTI ID:20699002

Wong, Cheuk-Yin ^[1]

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1. Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

Using the color-singlet free energy F{sub 1} and total internal energy U{sub 1} obtained by Kaczmarek et al. (hep-lat/0309121) for a static quark Q and an antiquark Q in quenched QCD, we study the binding energies and wave functions of heavy quarkonia in a quark-gluon plasma. By minimizing the grand potential in a simplified schematic model, we find that the proper color-singlet Q-Q potential can be obtained from the total internal energy U{sub 1} by subtracting the gluon internal energy contributions. We carry out this subtraction in the local energy-density approximation in which the gluon energy density can be related to the local gluon pressure by the quark-gluon plasma equation of state. We find in this approximation that the proper color-singlet Q-Q potential is approximately F{sub 1} for T{approx}T{sub c} and it changes to (3/4)F{sub 1}+(1/4)U{sub 1} at high temperatures. In this potential model, the J/{psi} is weakly bound above the phase-transition temperature T{sub c}, and it dissociates spontaneously above 1.62T{sub c}, whereas {chi}{sub c} and {psi}{sup '} are unbound in the quark-gluon plasma. The bottomium states {upsilon},{chi}{sub b}, and {upsilon}{sup '} are bound in the quark-gluon plasma and they dissociate at 4.1T{sub c},1.18T{sub c}, and 1.38T{sub c} respectively. For comparison, we evaluate the heavy quarkonium binding energies also in other models using the free energy F{sub 1} or the total internal energy U{sub 1} as the Q-Q potential. The comparison shows that the model with the new Q-Q potential proposed here gives dissociation temperatures that agree best with those from spectral function analyses. We evaluate the cross section for {sigma}(g+J/{psi}{yields}c+c) and its inverse process to determine the J/{psi} dissociation width and the rate of J/{psi} production by recombining c and c in the quark-gluon plasma.

• OSTI ID: 20699002
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 72; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
BAG MODEL
BINDING ENERGY
BOUND STATE
C QUARKS
CHI B0-10235 MESONS
CHI B0-9860 MESONS
COMPARATIVE EVALUATIONS
CROSS SECTIONS
ENERGY DENSITY
EQUATIONS OF STATE
FREE ENERGY
GLUONS
HEAVY ION REACTIONS
J PSI-3097 MESONS
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARK-QUARK INTERACTIONS
SPECTRAL FUNCTIONS
T QUARKS
UPSILON-10580 MESONS
UPSILON-11020 MESONS
WAVE FUNCTIONS