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. ${\Sigma }_c(2800{)}^{0,+,++}$ can be assigned as a ${\Sigma }_{c2}(3/2^{-})$ or ${\Sigma }_{c2}(5/2^{-})$ state. We prefer to interpret the signal ${\Sigma }_c(2850{)}^0$ as a $2S(1/2^{+})$ state although at present we cannot thoroughly exclude the possibility that this is the same state as ${\Sigma }_c(2800{)}^0$. ${\Lambda }_c(2765{)}^{+}$ or ${\Sigma }_c(2765{)}^{+}$ could be explained as the ${\Lambda }_c^{+}(2S)$ state or ${\Sigma }_{c1}^{+}(1/2^{-})$ state, respectively. We propose to measure the branching ratio of $\mathcal{B}({\Sigma }_c(2455)\pi )/\mathcal{B}({\Sigma }_c(2520)\pi )$ in future, which may disentangle the puzzle of this state. Our results support ${\Xi }_c(2980{)}^{0,+}$ as the first radial excited state of ${\Xi }_c(2470{)}^{0,+}$ with $J^P=1/2^{+}$. The assignment of ${\Xi }_c(2930{)}^0$ is analogous to ${\Sigma }_c(2800{)}^{0,+,++}$, \emph{i.e.}, a ${\Xi }_{c2}^{\prime }(3/2^{-})$ or ${\Xi }_{c2}^{\prime }(5/2^{-})$ 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.

16 pages, 3 figures, 13 tables. Accepted by Eur. Phys. J. C

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