The strong decays of the low-lying $\rho$-mode $1P$-wave singly heavy baryons

Abstract

We have systematically calculated the strong decays of the low-lying $\rho$-mode $1P$-wave ${\Lambda }_{c(b)}$, ${\Sigma }_{c(b)}$, ${\Xi }_{c(b)}$, ${\Xi }_{c(b)}^{{}^{\prime }}$, ${\Omega }_{c(b)}$ baryons using the chiral quark model within the $j$-$j$ coupling scheme. For the controversial states, our results indicate: (i) For the singly charmed heavy baryons, the newly observed ${\Lambda }_c(2910{)}^{+}$ is a good candidate of the $J^P=5/2^{-}$ state ${\Lambda }_c|J^P={\frac{5}{2}}^{-},2{⟩}_{\rho }$. (ii) For the singly bottom heavy baryons, the ${\Xi }_b(6227{)}^{-}$ favors the $J^P=5/2^{-}$ state ${\Xi }_b|J^P={\frac{5}{2}}^{-},2{⟩}_{\rho }$. (iii) The other missing $\rho$-mode $1P$-wave excitations in ${\Lambda }_b$, ${\Sigma }_{c(b)}$ and ${\Xi }_{c(b)}^{{}^{\prime }}$ families appear to be broad structures with $\Gamma$$\sim$(100-200) MeV, and their strong decay widths are sensitive to their masses. (iv) The $\rho$-mode $1P$-wave ${\Xi }_{c(b)}$ and ${\Omega }_{c(b)}$ baryons have a relatively narrow decay width of a few MeV or a few tens of MeV, and have a good potential to be observed in forthcoming experiments.

Comments: 13 page, 11 figures