Study of the strong $\Sigma_b\to \Lambda_b\, \pi$ and $\Sigma_b^{*}\to \Lambda_b\, \pi$ in a non-relativistic quark model

TL;DR

This paper calculates the decay widths of bottom baryons $\, ext{Sigma}_b$ and $ ext{Sigma}_b^{*}$ into $\, ext{Lambda}_b$ and a pion using a non-relativistic quark model that incorporates heavy quark symmetry and axial current considerations.

Contribution

It extends a non-relativistic quark model previously applied to charmed baryons to study bottom baryon decays, integrating heavy quark symmetry and axial current analysis.

Findings

Calculated decay widths for $\, ext{Sigma}_b$ and $ ext{Sigma}_b^{*}$ decays.

Demonstrated consistency with heavy quark symmetry constraints.

Provided theoretical predictions for strong decay processes.

Abstract

We present results for the strong widths corresponding to the $\Sigma_b\to \Lambda_b\, \pi$ and $\Sigma_b^{*}\to \Lambda_b\, \pi$ decays. We apply our model in Ref. Phys. Rev. D 72, 094022 (2005) where we previously studied the corresponding transitions in the charmed sector. Our non-relativistic constituent quark model uses wave functions that take advantage of the constraints imposed by heavy quark symmetry. Partial conservation of axial current hypothesis allows us to determine the strong vertices from an analysis of the axial current matrix elements.