Exotic hybrid pseudopotentials at finite temperature and chemical potential*

Abstract Using gauge/gravity duality, we studied the exotic hybrid pseudopotentials at finite temperature and chemical potential. The Σ hybrid meson can be described by a model including an object called "defect'' on a string linking the quark and antiquark. The hybrid potential at zero temperature and chemical potential was first proposed by Andreev and is perfectly described. In this study, we extended the aforementioned model to finite chemical potential and compared the separate distance and pseudopotentials of and . Unlike the ground state, the hybrid pseudopotentials no longer exhibit Coulomb-like behavior at short distances. In addition, temperature and chemical potential have a significant impact on the hybrid pseudopotentials. The screen distances and hybrid pseudopotentials of significantly decrease when increasing temperature and chemical potential. We represented the melting diagram of and in the plane and confirmed that the quark-antiquark pair in excited state is easier to melt than that in ground state.