Three-quark potential at finite temperature and chemical potential

TL;DR

This paper investigates the behavior and melting of triply heavy baryons at finite temperature and chemical potential using gauge/gravity duality, revealing potential energy decrease, melting points, and screening effects.

Contribution

It provides the first detailed analysis of three-quark potential and baryon melting in the $T-mbda$ plane using holographic methods.

Findings

Three-quark potential decreases with increasing temperature and chemical potential.

Triply heavy baryons melt at high temperature and/or large chemical potential.

A melting diagram of baryons in the $T-mbda$ plane is constructed.

Abstract

Using gauge/gravity duality, we study the potential energy and the melting of triply heavy baryon at finite temperature and chemical potential in this paper. First, we calculate three-quark potential and compare the results with quark-antiquark potential. With the increase of temperature and chemical potential, the potential energy will decrease at large distances. It is found that the three-quark potential will have an endpoint at high temperature and/or large chemical potential, which means triply heavy baryons will melt at enough high temperature and/or large chemical potential. We also discuss screening distance which can be extracted from the three-quark potential. At last, we draw the melting diagram of triply heavy baryons in the $T-\mu$ plane.