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

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.