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.
Categories: hep-ph