Model-independent bottom baryon mass predictions in the1/Ncexpansion

Abstract

Recent discoveries of the ${\ensuremath{\Xi}}_{b}$, ${\ensuremath{\Sigma}}_{b}$, and ${\ensuremath{\Sigma}}_{b}^{*}$ baryons at the Tevatron are in good agreement with model-independent mass predictions made a decade ago based on a combined expansion in $1/{N}_{c}$, $1/{m}_{Q}$, and $SU(3)$ flavor symmetry breaking. Using the new experimental data as input, mass predictions for the undiscovered bottom baryons ${\ensuremath{\Xi}}_{b}^{\ensuremath{'}}$, ${\ensuremath{\Xi}}_{b}^{*}$, ${\ensuremath{\Omega}}_{b}$, and ${\ensuremath{\Omega}}_{b}^{*}$ and for many unmeasured bottom baryon mass splittings are updated. The observed ground state charm baryons exhibit the mass hierarchy previously predicted by the $1/{N}_{c}$, $1/{m}_{Q}$, and $SU(3)$ flavor-breaking expansion.