Hyperfine Splittings of Baryons Containing a Heavy Quark in the Skyrme Model

Abstract

The $\Sigma_c^*-\Sigma_c$ and $\Sigma_b^*-\Sigma_b$ hyperfine mass splittings are computed in the Skyrme model. The hyperfine splittings are suppressed by both $1/N_c$ and by $1/m_Q$, where $N_c$ is the number of colors and $m_Q$ is the mass of the heavy quark. The $\Sigma_c$, $\Sigma_c^*$, $\Sigma_b$, $\Sigma_b^*$, and $\Lambda_b$ masses are predicted in terms of the known values of the $\Lambda_c$, $D$, $D^*$, $B$ and $B^*$ masses.