Study of $2S$- and $1D$- excitations of observed charmed strange baryons

Abstract

Strong decays of ${\Xi }_c$ baryons with radial or orbital excitations with positive parity have been studied in a ${}^3{P}_0$ model. As candidates of these $X{i}_c$, possible configurations and $J^P$ of ${\Xi }_c(2930)$, ${\Xi }_c(2980)$, ${\Xi }_c(3055)$, ${\Xi }_c(3080)$ and ${\Xi }_c(3123)$ have been assigned. There are $40$ kinds of configurations to describe these excited ${\Xi }_c$. In these assignments, ${\Xi }_c(2930)$ may be a $2S$-wave excited ${\tilde{\Xi }}_{c1}({\frac{1}{2}}^{+})$ or ${\tilde{\Xi }}_{c1}({\frac{3}{2}}^{+})$, or a $D$-wave excited ${\hat{\Xi }}_{c1}^{{}^{\prime }}({\frac{1}{2}}^{+})$, ${\check{\Xi }}_{c1}^0({\frac{1}{2}}^{+})$, ${\check{\Xi }}_{c1}^2({\frac{1}{2}}^{+})$, ${\hat{\Xi }}_{c1}^{{}^{\prime }}({\frac{3}{2}}^{+})$, ${\check{\Xi }}_{c1}^0({\frac{3}{2}}^{+})$ or ${\check{\Xi }}_{c1}^2({\frac{3}{2}}^{+})$. ${\Xi }_c(2980{)}^{+}$ may be a $2S$-wave excited ${\tilde{\Xi }}_{c1}({\frac{1}{2}}^{+})$ or ${\tilde{\Xi }}_{c0}^{{}^{\prime }}({\frac{1}{2}}^{+})$ with $J^P={\frac{1}{2}}^{+}$, or a $D$-wave excited ${\check{\Xi }}_{c0}^{{}^{\prime }0}({\frac{1}{2}}^{+})$ or ${\check{\Xi }}_{c1}^0({\frac{1}{2}}^{+})$ with $J^P={\frac{1}{2}}^{+}$. ${\Xi }_c(3055{)}^{+}$ may be a $2S$-wave excited ${\acute{\Xi }}_{c1}^{{}^{\prime }}({\frac{3}{2}}^{+})$ or ${\acute{\Xi }}_{c0}({\frac{1}{2}}^{+})$. It may be a $D$-wave excited ${\Xi }_{c1}^{{}^{\prime }}({\frac{3}{2}}^{+})$, ${\Xi }_{c2}^{{}^{\prime }}({\frac{5}{2}}^{+})$, ${\Xi }_{c2}^{}({\frac{3}{2}}^{+})$ or ${\Xi }_{c2}^{}({\frac{5}{2}}^{+})$. ${\Xi }_c(3080{)}^{+}$ is very possibly a $2S$-wave excited ${\acute{\Xi }}_{c0}({\frac{1}{2}}^{+})$, and seems not a $D$-wave excitation of ${\Xi }_c$. For the poor experimental information of ${\Xi }_c(3123)$, it is impossible to identify this state at present. It is found that the channel $\Lambda D$ vanishes in the strong decay of $P$-wave, $D$-wave and $2S$-wave excited ${\Xi }_c$ without $\rho$- mode excitation between the two light quarks ($n_{\rho }=L_{\rho }=0$). Some branching fraction ratios have been computed and can be employed to distinguish different configurations in forthcoming experiments.

13 pages,11 tables,RevTex

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