Isospin mass splittings of heavy baryons in heavy quark symmetry

Abstract

In this paper, the electromagnetic mass differences of heavy hadrons are discussed, while the relevant hyperfine interactions are ignored. The effects of one-photon exchange interaction and up-down quark mass difference are parametrized. Two mass difference equations $2{\ensuremath{\Sigma}}_{c}^{+}\ensuremath{-}({\ensuremath{\Sigma}}_{c}^{++}+{\ensuremath{\Sigma}}_{c}^{0})=2{\ensuremath{\Sigma}}_{b}^{0}\ensuremath{-}({\ensuremath{\Sigma}}_{b}^{+}+{\ensuremath{\Sigma}}_{b}^{\ensuremath{-}})$ and $({\ensuremath{\Xi}}_{cc}^{+}\ensuremath{-}{\ensuremath{\Xi}}_{cc}^{++})+({\ensuremath{\Xi}}_{bb}^{\ensuremath{-}}\ensuremath{-}{\ensuremath{\Xi}}_{bb}^{0})=2({\ensuremath{\Xi}}_{bc}^{0}\ensuremath{-}{\ensuremath{\Xi}}_{bc}^{+})$ for the heavy baryons are obtained. In addition, the masses of ${\ensuremath{\Sigma}}_{b}^{0}$, ${\ensuremath{\Xi}}_{b}^{0}$, and ${\ensuremath{\Xi}}_{cc}^{++}$ are predicted based on the known experimental data.