Low-lying exotic mesons in the coupled-channel formalism

TL;DR

This paper develops a relativistic four-quark equation framework to study low-lying exotic mesons, incorporating mixing with glueball states, and calculates their masses using approximate solutions based on leading singularities.

Contribution

It introduces a novel dispersion relation approach to four-quark equations, including glueball mixing, and provides mass predictions for exotic mesons with three quark flavors.

Findings

Calculated masses of exotic mesons with u, d, s quarks.

Included glueball mixing in four-quark amplitude analysis.

Provided approximate solutions using leading singularity extraction.

Abstract

The relativistic four-quark equations are found in the framework of the dispersion relation technique. The dynamical mixing of the four-quark amplitudes and the glueball amplitudes is considered. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The four-quark amplitudes of exotic mesons including the quarks of three flavors (u, d, s) are calculated. The poles of these amplitudes determine the masses of the exotic mesons.