$\Xi_c(2790)^{+/0}$ and $\Xi_c(2815)^{+/0}$ radiative decays

TL;DR

This paper calculates the electromagnetic decay widths of $\\Xi_c$ baryons using a non-relativistic constituent quark model, achieving analytical results that align well with recent experimental data without additional parameters.

Contribution

It provides the first analytical calculation of these decay widths without extra approximations or parameters, improving theoretical predictions for $\\Xi_c$ radiative decays.

Findings

Calculated decay widths agree with Belle experiment data.

No additional parameters or approximations were used.

Results are useful for guiding future experiments.

Abstract

In this work, we study the $\Xi_c$ baryon electromagnetic decay widths within the constituent quark model formalism through an analysis of the transitions from $P-$wave states to ground states. We use the non-relativistic limit of the Hamiltonian of the electromagnetic interaction on keeping all the terms up to the order $m_j^{-1}$. We calculate the electromagnetic decay widths analytically, for the first time, without any further approximation. Specifically, our theoretical results for the $\Xi_c(2790)^{+/0}$ and $\Xi_c(2815)^{+/0}$ radiative decay widths, without the introduction of any additional parameters, display a significant agreement with the recent experimental values obtained by the Belle experiment. The agreement is due to the fact that we have not introduced further approximation to simplify the calculation of the difficult convective term, unlike what was done in previous studies. Our predictions may be useful for future experiments at the Belle, BABAR, and LHC experiments.