Tetraquarks with charm in coupled-channel formalism

TL;DR

This paper develops a relativistic coupled-channel formalism to calculate the masses of charm-containing tetraquarks, considering meson-meson and four-quark state mixing, and provides approximate solutions for these complex systems.

Contribution

It introduces a novel relativistic coupled-channel approach to analyze tetraquarks with charm, including three flavors, and computes their mass spectrum.

Findings

Calculated masses of low-lying charm tetraquarks.

Constructed four-quark amplitudes for cryptoexotic mesons.

Provided approximate solutions using singularity extraction method.

Abstract

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states 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 cryptoexotic mesons including the quarks of three flavours (u, d, s) and the charmed quark are constructed. The poles of these amplitudes determine the masses of tetraquarks. The mass values of low-lying tetraquarks are calculated.