Hexaquarks in the coupled-channel formalism

TL;DR

This paper develops relativistic six-quark equations using dispersion relations to calculate hexaquark amplitudes, providing a method to determine the masses of six-quark systems with three flavors.

Contribution

It introduces a relativistic formalism for six-quark systems and approximates solutions by extracting leading singularities, advancing theoretical understanding of hexaquarks.

Findings

Calculated masses of hexaquarks with $u$, $d$, $s$ quarks.

Derived relativistic six-quark amplitudes.

Provided a new approach to study multi-quark states.

Abstract

The relativistic six-quark equations are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The relativistic six-quark amplitudes of hexaquarks including the quarks of three flavors ($u$, $d$, $s$) are calculated. The poles of these amplitudes determine the masses of six-quark systems.