Radiative decays of the second shell $\Lambda_b$ and $\Xi_b$ bottom baryons

TL;DR

This paper calculates the electromagnetic decay widths of second-shell $ ext{Lambda}_b$ and $ ext{Xi}_b$ bottom baryons using a constituent quark model, aiding in resonance identification and state reconstruction.

Contribution

It provides the first theoretical calculations of electromagnetic decays for various excited bottom baryon states, including $D_ ho$-wave and mixed states, within the constituent quark model.

Findings

Calculated electromagnetic decay widths for excited bottom baryons.

Identified decay channels crucial for resonance confirmation.

Accounted for experimental and model uncertainties.

Abstract

In this work, we investigate the radiative decays of the $\Lambda_b$ and $\Xi_b$ bottom baryons, which belong to the flavor anti-triplet ($\mathbf{\bar{3}}_{\rm F}$), within the constituent quark model formalism. The electromagnetic transitions are calculated from the second-shell states to both the ground and $P$-wave final states. These decays play a crucial role in confirming the existence of certain resonances. When strong decays are not allowed, the reconstruction of states relies on their electromagnetic decay channels. Moreover, electromagnetic decay widths are particularly useful for the identification of resonances when states have the same mass and total decay width. This study presents, for the first time, the calculation of electromagnetic decays for $D_\rho$-wave states, $\rho-\lambda$ mixed states, and $\rho$-mode radially excited states. Throughout our calculations, we account for uncertainties arising from both experimental and model-dependent errors.