Low-lying charmed and charmed-strange baryon states

Abstract

In this work, we systematically study the mass spectra and strong decays of $1P$ and $2S$ charmed and charmed-strange baryons in the framework of nonrelativistic constituent quark models. With the light quark cluster-heavy quark picture, the masses are simply calculated by a potential model. The strong decays are studied by the Eichten-Hill-Quigg decay formula. Masses and decay properties of the well-established $1S$ and $1P$ states can be reproduced by our method. $Σ_c(2800)^{0,+,++}$ can be assigned as a $Σ_{c2}(3/2^-)$ or $Σ_{c2}(5/2^-)$ state. We prefer to interpret the signal $Σ_c(2850)^0$ as a $2S(1/2^+)$ state although at present we cannot thoroughly exclude the possibility that this is the same state as $Σ_c(2800)^0$. $Λ_c(2765)^+$ or $Σ_c(2765)^+$ could be explained as the $Λ_c^+(2S)$ state or $Σ^+_{c1}(1/2^-)$ state, respectively. We propose to measure the branching ratio of $\mathcal{B}(Σ_c(2455)π)/\mathcal{B}(Σ_c(2520)π)$ in future, which may disentangle the puzzle of this state. Our results support $Ξ_c(2980)^{0,+}$ as the first radial excited state of $Ξ_c(2470)^{0,+}$ with $J^P=1/2^+$. The assignment of $Ξ_c(2930)^0$ is analogous to $Σ_c(2800)^{0,+,++}$, \emph{i.e.}, a $Ξ^\prime_{c2}(3/2^-)$ or $Ξ^\prime_{c2}(5/2^-)$ state. In addition, we predict some typical ratios among partial decay widths, which are valuable for experimental search for these missing charmed and charmed-strange baryons.