Radiative decays of the 1$P$, 1$D$, 2$S$, and 2$P$ $Λ_c$ and 1$D$, 2$S$, and 2$P$ $Ξ_c$ charmed baryons

Abstract

We analyze the radiative decays of the the 1$P$, 1$D$, 2$S$, and 2$P$ $Λ_c$ and 1$D$, 2$S$, and 2$P$ $Ξ_c$ charmed baryons, which belong to the flavor anti-triplet ($\bf {\bar 3}_{\rm F}$), using the constituent quark model. We compute electromagnetic transitions from ground and $P$-wave states to ground states, as well as from second-shell states to both ground and $P$-wave final states. Electromagnetic decay widths are especially valuable for identifying resonances when multiple states share the same mass and total decay width. We give branching ratios which can confirm the assignment of the $Ξ_c(3055)$ reported by LHCb. We also give branching ratios that can support the assignment of the $Ξ_c(3080)$, and discuss the possibilities for the $Ξ_c(3080)$ to be the 1$D$ state with $J^P=5/2^{+}$ or the 2$S$ with $J^P=1/2^{+}$. For the first time, this work provides calculations of electromagnetic decays for $D_ρ$-wave states, $ρ-λ$ mixed configurations, and $ρ$-mode radially excited states in singly charmed baryons of the flavor anti-triplet. Both experimental and model-dependent uncertainties are taken into account throughout our analysis.