Some Properties of the $QQq$-Quark Potential in String Models

TL;DR

This paper uses string models to analyze the potential between two heavy quarks and a light quark, revealing universal string tension, factorization at small distances, and estimating the string breaking distance.

Contribution

It introduces a string theory framework to study QQq potentials, highlighting universality, factorization, and string breaking, which are novel insights in heavy quark physics.

Findings

Universal string tension observed

Factorization at small separations confirmed

String breaking distance estimated

Abstract

We propose a string theory construction which allows us to study properties of the potential of two heavy quarks coupled to a light quark. In such a case, the potential is a function of separation between the heavy quarks. The results show the universality of the string tension and factorization at small separations expected from heavy quark-diquark symmetry. In addition, we make an estimate of the string breaking distance. With the parameter values we use, this distance is found to be almost the same as that for the heavy quark-antiquark potential. We also discuss the heavy quark-quark potential and its relation to Lipkin rule.