Potential and string breaking of doubly heavy baryon at finite temperature and chemical potential

Abstract

Using gauge/gravity duality, we first study the string breaking and melting of doubly heavy baryon at a finite chemical potential and temperature in this paper. The decay mode $\mathrm{QQq}\to \mathrm{Qqq}+\mathrm{Q}\bar{\mathrm{q}}$ is investigated with the presence of temperature and chemical potential in this paper. With the increase of temperature and chemical potential, string breaking takes place at a smaller potential energy and the string-breaking distance will increase slightly. It is also found that the $\mathrm{QQq}$ melts at small separate distance with the increase of temperature and chemical potential. Then, we compare the screening distance of $\mathrm{QQq}$ with $\mathrm{Q}\bar{\mathrm{Q}}$ under the same conditions. Finally, we draw the melting diagram of $\mathrm{QQq}$ and $\mathrm{Q}\bar{\mathrm{Q}}$ in the $T-\hat{I}¼$ plane.

24pages, 18 figures