Heavy Baryon Masses in the $1/m_Q$ and $1/N_c$ Expansions

Abstract

The masses of baryons containing a single heavy quark are studied in a combined expansion in $1/m_Q$, $1/N_c$ and $SU(3)$ flavor symmetry breaking. Heavy quark baryon mass splittings are related to mass splittings of the octet and decuplet baryons. The ${\Sigma }_c^{\ast }$, ${\Xi }_c^{\prime }$ and ${\Omega }_c^{\ast }$ are predicted to the level of a few MeV. A number of bottom baryon mass splittings are predicted very accurately.

Comments: 21 pages, REVtex, version to appear Phys. Rev. D