Studying the potential of QQq at finite temperature in a holographic model

TL;DR

This study uses holographic duality to analyze the behavior of QQq systems at finite temperature, revealing string breaking, melting, and stability differences compared to quark-antiquark pairs.

Contribution

It provides a detailed holographic analysis of QQq configurations at finite temperature, including string breaking distances and phase transitions.

Findings

String breaking occurs at 1.27 fm at T=0.1 GeV.

QQq melts and becomes free quarks in the deconfined phase.

Qar{Q} pairs are more stable than QQq at high temperature.

Abstract

Using the gauge/gravity duality, we investigate the string breaking and dissolution of two heavy quarks coupled to a light quark at finite temperature. It is found that there exist three configurations of QQq with the increase of separate distance for heavy quarks in the confined phase. Besides, the string breaking occurs at the distance $L_{\rm{QQq}} = 1.27 \rm{fm}$($T = 0.1 \rm{GeV}$) for the decay mode $\rm{Q Q q \rightarrow Q q q+Q \bar{q}}$. In the deconfined phase, QQq will melt at a certain distance then becomes free quarks. At last, we compare the potential of QQq with that of $\rm{Q\bar{Q}}$ and find $\rm{Q\bar{Q}}$ is more stable than QQq at high temperature.