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

Abstract

The strong and radiative decays of the low-lying $\lambda$-mode $D$-wave ${\Lambda }_{c(b)}$, ${\Sigma }_{c(b)}$, ${\Xi }_{c(b)}$, ${\Xi }_{c(b)}^{\prime }$, 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 ${\Xi }_{c(b)}^{\prime }$ 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 ${|}^2{D}_{\lambda \lambda }{\frac{3}{2}}^{+}⟩$ of ${\bar{3}}_F$, while both ${\Lambda }_c(2880)$ and ${\Xi }_c(3080)$ may be assigned as the $J^P=5/2^{+}$ excitation ${|}^2{D}_{\lambda \lambda }{\frac{5}{2}}^{+}⟩$ of ${\bar{3}}_F$. 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.

Comments: 17 pages, 7 figures, some refs are added