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

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: ${\overline{15}}_S$, ${\bar{3}}_S$, $6_A$ 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.

Comments: 13 pages, 6 tables, 2 figures. Accepted for publication in Rom. J. Phys