Radiative decays of the ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ charmed baryons

Abstract

In this work, we study the radiative decays of the ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ charmed baryons, which belong to the flavor sextet ($6_{\mathrm{F}}$), within the constituent quark model formalism. The electromagnetic transitions are calculated from the ground and $P$-wave states to ground states, as well as 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. Moreover, electromagnetic decay widths are particularly useful for identifying resonances when states have the same mass and total decay width. A relevant case is the ${\Omega }_c(3327)$ state, whose branching ratios between the strong decay channels are comparable; thus, the radiative decay widths may help assign this state. We also make the assignment of the recently discovered ${\Xi }_c^{\prime }(2923{)}^{+}$ baryon, which is consistent with being the isospin partner of the ${\Xi }_c^{\prime }(2923{)}^0$. 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 in the charm sector. Throughout our calculations, we account for uncertainties arising from both experimental and model-dependent errors.

Comments: 22 pages, 2 figures