Relativistic four-quark equations and cryptoexotic mesons spectroscopy

TL;DR

This paper develops relativistic four-quark equations using dispersion relations, solves them approximately to predict cryptoexotic meson masses involving three quark flavors, advancing understanding of exotic hadron spectroscopy.

Contribution

It introduces a novel approach to four-quark equations with dispersion relations and provides mass predictions for cryptoexotic mesons with three flavors.

Findings

Calculated masses of low-lying cryptoexotic mesons.

Developed approximate solutions based on leading singularities.

Extended four-quark equations to include three-flavor quark states.

Abstract

The four-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 four-quark amplitudes of cryptoexotic mesons including the quarks of three flavours (u, d, s) are calculated. The mass values of low-lying cryptoexotic mesons are calculated.