Strong and radiative decays of the low-lying $D$-wave singly heavy baryons

TL;DR

This study investigates the decay properties of low-lying D-wave heavy baryons using a constituent quark model, predicting narrow widths for some states and assigning quantum numbers to observed baryons, aiding future experimental searches.

Contribution

The paper provides detailed decay width predictions and quantum number assignments for low-lying D-wave heavy baryons, offering guidance for experimental identification and understanding of their structure.

Findings

Missing $ ext{Ω}_c$ and $ ext{Λ}_b$, $ ext{Ξ}_b$ D-wave baryons have narrow decay widths.

$ ext{Σ}_c$ and $ ext{Ξ}_c'$ D-wave excitations have broad widths (~50-200 MeV).

$ ext{Λ}_c(2860)$ and $ ext{Ξ}_c(3050)$ favor $J^P=3/2^+$; $ ext{Λ}_c(2880)$ and $ ext{Ξ}_c(3080)$ favor $J^P=5/2^+$.

Abstract

The strong and radiative decays of the low-lying $\lambda$-mode $D$-wave $\Lambda_{c(b)}$, $\Sigma_{c(b)}$, $\Xi_{c(b)}$, $\Xi_{c(b)}'$, and $\Omega_{c(b)}$ baryons are studied in a constituent quark model. Our calculation shows the following: (i) The missing $\lambda$-mode $D$-wave $\Omega_{c(b)}$, $\Lambda_{b}$, and $\Xi_{b}$ baryons have a relatively narrow decay width of a few MeV or a few tens of MeV and their dominant strong and radiative decay channels can be ideal for searching for their signals in future experiments. (ii) The $\lambda$-mode $1D$-wave excitations in the $\Sigma_{c(b)}$ and $\Xi_{c(b)}'$ families appear to have a relatively broad width of $\sim 50-200$ MeV.Most of the $1D$-wave states have large decay rates into the $1P$-wave heavy baryons via the pionic or kaonic strong decay processes, which should be taken seriously in future observations. (iii) Both $\Lambda_c(2860)$ and $\Xi_c(3050)$ seem to favor the $J^P=3/2^+$ excitation $|^2D_{\lambda\lambda} \frac{3}{2}^+ \rangle$ of $\bar{\mathbf{3}}_F$, while both $\Lambda_c(2880)$ and $\Xi_c(3080)$ may be assigned as the $J^P=5/2^+$ excitation $|^2D_{\lambda\lambda} \frac{5}{2}^+ \rangle$ of $\bar{\mathbf{3}}_F$. The nature of $\Xi_c(3050)$ and $\Xi_c(3080)$ could be tested by the radiative transitions $\Xi_c(3055)^0\to \Xi_c(2790)^0 \gamma$ and $\Xi_c(3080)^0 \to \Xi_c(2815)^0 \gamma$, respectively.