Doubly-heavy tetraquark at finite temperature in a holographic model

Abstract

In this paper, we employ gauge/gravity duality to investigate the string breaking and melting of doubly-heavy tetraquark that includes two heavy quarks and two light antiquarks in a holographic model at finite temperature. Firstly, we investigate four configurations of $\mathrm{QQ}\bar{\mathrm{q}}\bar{\mathrm{q}}$ in the confined phase and consider different separation distances of the heavy quarks at varying temperatures. At high temperature, $\mathrm{QQ}\bar{\mathrm{q}}\bar{\mathrm{q}}$ melts at certain distances and the confined quarks are released. As the temperature continues to increase, some configurations of doubly-heavy tetraquark can not exist. Furthermore, we investigate three decay modes of $\mathrm{QQ}\bar{\mathrm{q}}\bar{\mathrm{q}}$ and compare the potential energy of $\mathrm{QQ}\bar{\mathrm{q}}\bar{\mathrm{q}}$ with that of $\mathrm{QQq}$ at finite temperature .