Bottom-charmed baryons in a nonrelativistic quark model

Abstract

In this work, we study the low-lying mass spectra for bottom-charmed baryons in a nonrelativistic quark model by solving the three-body Schrödinger equation. The lowest ${\Xi }_{bc}$, ${\Xi }_{bc}^{\prime }$, ${\Omega }_{bc}$, and ${\Omega }_{bc}^{\prime }$ states are predicted to be about 6979, 6953, 7109, and 7092 MeV, respectively. Also, the strong decays for the low-lying excited states are investigated. Our results indicate that some of $\lambda -$mode $P-$wave bottom-charmed baryons are relatively narrow, which can be searched for in future experiments. For the low-lying $\rho -$mode and $\rho -\lambda$ hybrid states, their strong decays are highly suppressed and they can survive as extremely narrow states. Moreover, the mass spectra and strong decays for bottom-charmed baryons preserve the heavy quark symmetry well. We hope our calculations can provide helpful information for further experimental and theoretical researches.

Comments: 13 pages, 7 figures. Some modifications, accepted version