Bottom Baryon Decays in Non-relativistic Quark Model

Abstract

The reactions $\Sigma_b^* \to \Lambda_b \pi$, $\Sigma_b \to \Lambda_b \pi$, and $\Xi_b^* \to \Xi_b \pi$ are studied in the $^3P_0$ non-relativistic quark model with all the model parameters fixed in the sector of light quarks. The theoretical predictions for the decay widths $\Gamma_{\Sigma_b^* \to \Lambda_b \pi}$ and $\Gamma_{\Sigma_b \to \Lambda_b \pi}$ are consistent with the experimental data of the CDF Collaboration. Using as an input the recent mass of $\Xi_b$ and the theoretical predictions mass of $\Xi_b^{*}$, a narrow decay width about 1 MeV is predicted for the bottom baryon $\Xi_b^*$. The work suggests that the $^3P_0$ quark dynamics is of independence of environments where heavy quarks may or may not be a component of baryons.