Three-quark potential at finite temperature and chemical potential* *Supported by the NSFC (12175100, 11975132), the Research Foundation of Education Bureau of Hunan Province, China (21B0402, 20C1594) and the Natural Science Foundation of Hunan Province of China (2022JJ40344)

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 the 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 plane.