Negative parity tetraquarks with the open charm

TL;DR

This paper develops relativistic four-quark equations to analyze negative parity tetraquarks with open charm, calculating their masses by considering meson-meson and four-quark state mixing.

Contribution

It introduces a coupled-channel formalism for relativistic four-quark equations including three light flavors and charm, and computes masses of low-lying negative parity tetraquarks.

Findings

Masses of low-lying negative parity tetraquarks are calculated.

Dynamical mixing of meson-meson and four-quark states is modeled.

Relativistic four-quark equations are formulated and solved.

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 four-quark amplitudes of the negative parity tetraquarks including the quarks of three flavors (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 with the spin-parity JP=0-,1-,2-,3- are calculated.