Quarkonia and Quark Drip Lines in Quark-Gluon Plasma

Abstract

We extract the $Q$-$\bar{Q}$ potential by using the thermodynamic quantities obtained in lattice gauge calculations. The potential is tested and found to give dissociation temperatures that agree well with those from lattice gauge spectral function analysis. Using such a $Q$-$\bar{Q}$ potential, we examine the quarkonium states in a quark-gluon plasma and determine the `quark drip lines' which separate the region of bound color-singlet $Q\bar{Q}$ states from the unbound region. The characteristics of the quark drip lines severely limit the region of possible bound $Q\bar{Q}$ states with light quarks to temperatures close to the phase transition temperature. Bound quarkonia with light quarks may exist very near the phase transition temperature if their effective quark mass is of the order of 300-400 MeV and higher.

24 pages, 13 figures, in LaTex

References in corpus (3)

• Potential Models and Lattice Gauge Current-Current Correlators
• Heavy Quarkonia and Quark Drip Lines in Quark-Gluon Plasma
• S-Wave Quarkonia in Potential Models

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• The Momentum Kick Model Description of the Near-Side Ridge and Jet Quenching
• Momentum Kick Model Analysis of PHENIX Near-Side Ridge Data and Photon Jet
• Quarkonium Binding and Entropic Force
• Properties of charmonia in a hot equilibrated medium