Bottomonium melting at temperature well above Tc

TL;DR

This paper models bottomonium behavior at high temperatures above the QCD critical temperature by fitting lattice QCD data with various potentials, providing insights into quarkonium melting relevant for LHC heavy ion collisions.

Contribution

It introduces a comprehensive potential model fitting lattice QCD data to analyze bottomonium and charmonium binding and melting at temperatures well above Tc.

Findings

Bottomonium remains bound at temperatures much higher than Tc.

Melting temperatures for ground and excited states are identified.

Potential models match lattice data effectively at high temperatures.

Abstract

We fit the lattice QCD data of Kaczmarek et al for the free energy F1 and internal energy U1 with a class of Coulomb, constant and linear potentials, both pure and screened, matching the large distance to the short distance parts of the lattice QCD finite temperature energies. We also include the hyperfine potential in F1 and U1. We detail the bottomonium (and charmonium) binding and the melting temperatures, both for the groundstate and for the excited states, relevant for Hard Probes in Heavy Ion Collisions at LHC, where temperatures well above Tc will be reached, much higher than the temperatures reached in previous Heavy Ion Collisions.