Remarks on Static Three-Quark Potentials, String Breaking and Gauge/String Duality

TL;DR

This paper uses gauge/string duality to analyze string breaking in three-quark systems, revealing that breaking distances vary with geometry and can have multiple values, challenging the notion of universality.

Contribution

It demonstrates that string breaking distances depend on quark geometry and identifies special configurations with multiple breaking distances, advancing understanding of confinement mechanisms.

Findings

String breaking distance is geometry-dependent.

The ratio of three-quark to quark-antiquark breaking distances ranges from 2/3 to 1.

Certain geometries allow multiple string breaking distances.

Abstract

Making use of the gauge/string duality, it is possible to study some aspects of the string breaking phenomenon in the three quark system. Our results point out that the string breaking distance is not universal and depends on quark geometry. The estimates of the ratio of the string breaking distance in the three quark system to that in the quark-antiquark system would range approximately from $\frac{2}{3}$ to $1$. In addition, it is shown that there are special geometries which allow more than one breaking distance.