The Interaction of Moving $\mathbf{Q\bar{Q}}$ and QQq in the Thermal Plasma

TL;DR

This paper uses gauge/gravity duality to analyze how the interactions of heavy quark pairs and doubly heavy baryons change with temperature and rapidity, providing insights into their screening and potential behaviors.

Contribution

It demonstrates that gauge/gravity duality can accurately describe both Qar{Q} and QQq interactions at finite temperature and rapidity, fitting lattice potentials for a unified framework.

Findings

Effective string tension describes long-distance interactions.

Effective running coupling characterizes short-distance interactions.

Screening distances are systematically calculated.

Abstract

The strength of the interaction between heavy quarks is studied for heavy quarkonium ($\mathrm{Q\bar{Q}}$) and doubly heavy baryons ($\mathrm{QQq}$) at finite temperature and rapidity using the gauge/gravity duality in this paper. We show that this theoretical framework is capable of simultaneously and accurately describing both $\mathrm{Q\bar{Q}}$ and $\mathrm{QQq}$ by fitting lattice potentials. In this framework, we study their interaction at long distances or low temperature and rapidity through effective string tension, while the interaction at short distances or high temperature and rapidity is studied through effective running coupling. Additionally, we plot their state diagram in the $T-\eta$ plane and systematically calculate their respective screening distances.