Bottom Baryon Decays in Non-relativistic Quark Model

TL;DR

This paper uses a non-relativistic quark model to predict decay widths of bottom baryons, aligning with experimental data and providing new estimates for unmeasured states, highlighting the model's environment independence.

Contribution

It applies the $^3P_0$ non-relativistic quark model to bottom baryon decays, offering predictions consistent with experiments and new decay width estimates for unmeasured states.

Findings

Predicted decay widths agree with experimental data.

Estimated a narrow 1 MeV decay width for $ ext{Xi}_b^*$.

Supported the environment independence of $^3P_0$ quark dynamics.

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.