Thermodynamics of heavy quarkonium in the spinning black hole background

TL;DR

This study explores how angular momentum in a spinning black hole background influences the thermodynamic properties and dissociation behavior of heavy quarkonium, revealing that increased angular momentum promotes quarkonium melting.

Contribution

It provides new insights into the thermodynamics of heavy quarkonium in rotating black hole backgrounds, highlighting the role of angular momentum in quarkonium dissociation processes.

Findings

Angular momentum reduces maximum interquark distance.

Angular momentum suppresses free energy and promotes meson melting.

Angular momentum increases entropy and accelerates quarkonium dissociation.

Abstract

In this paper, we examine the thermodynamics of heavy quarkonium in the spinning black hole background. Specifically, we investigate the effect of angular momentum on the interquark distance, free energy, binding energy, entropy, entropic force, and internal energy of heavy quarkonium from the thermodynamic relationship. Our findings indicate that the angular momentum reduces the maximum value of interquark distance, suggesting that it promotes the dissociation of quarkonium. Additionally, we observe that the angular momentum suppresses free energy. From the results of binding energy, the angular momentum favors the melting of meson into a free quark and antiquark. Moreover, the results show that angular momentum increases the entropy and entropic force, thus accelerates the dissociation of quarkonium. The angular momentum increases the internal energy at large interquark distance. Finally, we find that the angular momentum has a more pronounced effect on quarkonium when the axis of quark pair $Q\overline{Q}$ is transverse to the direction of angular momentum.