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 $\rm{ Q Q q \rightarrow Q q q+Q \bar{ q}}$ 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 $\rm{ QQq}$ melts at small separate distance with the increase of temperature and chemical potential. Then, we compare the screening distance of $\rm{ QQq}$ with $\rm{ Q \bar{ Q}}$ under the same conditions. Finally, we draw the melting diagram of $\rm{ QQq}$ and $\rm{ Q \bar{ Q}}$ in the $T-\mu$ plane.
Categories: hep-ph