$\Xi_c(3055)$ as a scaling point to establish the excited $\Xi_c^{(\prime)}$ family

Abstract

Mass spectra and decay properties of the low-lying orbital excited $\Xi_c^{(\prime)}$ baryons are investigated in the framework of the chiral quark model and quark pair creation mechanism, which are mainly based on the recently experimental fact that $\Xi_c(3055)$ is a $D$-wave state excited in $\lambda$-mode. As a result, we make an inference that, (i) $\Xi_{c}(2790)$ and $\Xi_{c}(2815)$ are likely to be $\lambda$-mode excited $\Xi_{c1}(\frac{1}{2}^{-},1P)$ and $\Xi_{c1}(\frac{3}{2}^{-},1P)$ states, respectively. (ii) $\Xi_{c}(2923)$ and $\Xi_{c}(2939)$ could correspond respectively to the $\Xi_{c1}^{\prime}({\frac{1}{2}^{-}},1P)$ and $\Xi_{c2}^{\prime}({\frac{5}{2}^{-}},1P)$ states, while $\Xi_{c}(2965)$ might be a $\rho$-mode excited $\Xi_{c0}(\frac{1}{2}^{1},1P)$ state, and $\Xi_{c}(2882)$ might be arranged as $\Xi_{c0}^{\prime}(\frac{1}{2}^{-},1P)$. (iii) $\Xi_{c}(2970)$ might be the $\Xi_{c}(\frac{1}{2}^{+},2S)$ state. (iv) $\Xi_{c}(3055)$ and $\Xi_{c}(3080)$ can form a $\lambda$-mode excited $D$-wave doublet $\Xi_{c2}(\frac{3}{2}^+,\frac{5}{2}^+)$.