Binding Energies and Melting Temperatures of Heavy Hadrons in Quark-Gluon Plasma

TL;DR

This paper investigates the static potential of heavy quark-antiquark pairs at high temperatures in QCD, deriving non-perturbative potentials to compute binding energies and melting temperatures of heavy hadrons in quark-gluon plasma.

Contribution

It introduces a method to study the non-perturbative quark-antiquark potential at finite temperature using correlation functions, and applies it to calculate heavy hadron properties in deconfined QCD.

Findings

Calculated binding energies of J/ψ, Υ, and Ω_bbb in quark-gluon plasma.

Determined melting temperatures for these heavy hadrons.

Demonstrated the impact of non-perturbative effects on heavy hadron stability.

Abstract

We analyze the static potential of a quark-antiquark pair at $T\,\geq\,T_c$, where $T_c$ is a temperature of a deconfinement phase transition in QCD. We discuss the possibility that the non-perturbative part of this potential can be studied through the modification of the correlation functions, which define the quadratic field correlators of the nonperturbative vaccuum fields. We use the non-perturbative quark-antiquark potential derived in this way and the screened one-gluon-exchange potential with $T$-dependent Debye screening mass to calculate $J/\psi$, $\Upsilon$ and $\Omega_{bbb}$ binding energies and melting temperatures in the deconfined phase of the full 2-flavors QCD.