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

Abstract

The ${\Sigma }_c^{\ast }-{\Sigma }_c$ and ${\Sigma }_b^{\ast }-{\Sigma }_b$ 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 ${\Sigma }_c$, ${\Sigma }_c^{\ast }$, ${\Sigma }_b$, ${\Sigma }_b^{\ast }$, and ${\Lambda }_b$ masses are predicted in terms of the known values of the ${\Lambda }_c$, $D$, $D^{\ast }$, $B$ and $B^{\ast }$ masses.

Comments: (12 pages, 0 figures, uses harvmac.tex), UCSD/PTH 92-26