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

摘要

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 theFermi-Breit interaction Hamiltonian with SU(3) flavor symmetry breaking todetermine the masses of the single-charm tetraquarks. We also discuss massspectra obtained from meson and baryon mass fits. The mass spectra are verysimilar to those obtained with Glozman-Riska hyperfine interaction, and theyindicate that some of the experimentally detected states may have tetraquarknature.