The approach to equilibrium of a quarkonium in a quark-gluon plasma

Abstract

We derive equations of motion for the reduced density matrix of a heavy quarkonium in contact with a quark-gluon plasma in thermal equilibrium. These equations allow in particular a proper treatment of the regime when the temperature of the plasma is comparable to the binding energy of the quarkonium. These equations are used to study how the quarkonium approaches equilibrium with the plasma, and we discuss the corresponding entropy increase, or free energy decrease, depending on the temperature regime. The effect of collisions can be accounted for by the generalization of the imaginary potential introduced in previous studies, and from which collision rates are derived. An important outcome of the present analysis is that this imaginary potential has a sizeable dependence on the energy of the relevant transitions.

47 pages, 8 figures

References in corpus (8)

• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Heavy quark master equations in the Lindblad form at high temperatures
• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Perturbative Dynamics of Open Quantum Systems by Renormalization Group Method

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