Mass formulas for single-charm tetraquarks with Fermi-Breit hyperfine interaction

TL;DR

This paper calculates the masses of single-charm scalar tetraquarks using the Fermi-Breit hyperfine interaction, revealing potential tetraquark candidates among experimentally observed states.

Contribution

It introduces a mass calculation method for single-charm tetraquarks incorporating SU(3) flavor symmetry breaking with the Fermi-Breit interaction.

Findings

Mass spectra similar to Glozman-Riska hyperfine results

Some experimental states may be tetraquarks

Method incorporates SU(3) flavor symmetry breaking

Abstract

In this paper we present the main results of our investigation of the $cq \bar{q} \bar{q}$ single-charm scalar tetraquarks and their SU(3)$_\mathrm{F}$ representations: $\bar{15}_S$, $\bar{3}_S$, $6_A$ and $\bar{3}_A$. We use the Fermi-Breit interaction Hamiltonian with SU(3) flavor symmetry breaking to determine the masses of the single-charm tetraquarks. We also discuss mass spectra obtained from meson and baryon mass fits. The mass spectra are very similar to those obtained with Glozman-Riska hyperfine interaction, and they indicate that some of the experimentally detected states may have tetraquark nature.