Bottom Baryon Decays in Non-relativistic Quark Model

Abstract

The reactions $Σ_b^* \to Λ_b π$, $Σ_b \to Λ_b π$, and $Ξ_b^* \to Ξ_b π$ 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 $Γ_{Σ_b^* \to Λ_b π}$ and $Γ_{Σ_b \to Λ_b π}$ are consistent with the experimental data of the CDF Collaboration. Using as an input the recent mass of $Ξ_b$ and the theoretical predictions mass of $Ξ_b^{*}$, a narrow decay width about 1 MeV is predicted for the bottom baryon $Ξ_b^*$. 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.