Mass spectra of singly heavy baryons in a self-consistent chiral quark-soliton model

We investigate the mass spectra of the lowest-lying singly heavy baryons, based on the self-consistent chiral quark-soliton model. We take into account the rotational $1/N_c$ and strange current quark mass ($m_{\mathrm{s}}$) corrections. Regarding $m_{\mathrm{s}}$ as a small perturbation, we expand the effective chiral action to the second order with respect to $m_s$. The mass spectra of heavy baryons are computed and compared with the experimental data. Fitting the classical masses of the heavy baryon to the center mass of each representation, we determine the masses of all the lowest-lying singly heavy baryons. We predict the mass of the ${\mathrm{\Omega }}_b^{*}$ baryon to be 6081.9 MeV, when the second-order $m_{\mathrm{s}}$ corrections are included.

Figure 1

The antitriplet ($\overline{\mathbf{3}}$) and sextet ($\mathbf{6}$) representations of the lowest-lying heavy baryons. The left panel draws the weight diagram for the antitriplet with the total spin $1/2$. The centered panel corresponds to that for the sextet with the total spin $1/2$, and the right panel depicts that for the sextet with the total spin $3/2$.