Nature of charmed strange baryons ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$

Abstract

The hadronic decay widths and some ratios of branching fractions of the newly observed charmed strange baryons, ${\Xi }_c(3055{)}^0$, ${\Xi }_c(3055{)}^{+}$ and ${\Xi }_c(3080{)}^{+}$ are calculated in a ${}^3{P}_0$ model. In the calculation, they are considered as $34$ kinds of $D-wave$ charmed strange baryons. Among these assignments, ${\Xi }_c(3055{)}^{+}$ is very possibly a $J^P={\frac{5}{2}}^{+}$ ${\hat{\Xi }}_{c3}^{\prime }({\frac{5}{2}}^{+})$ or ${\check{\Xi }}_{c3}^2({\frac{5}{2}}^{+})$, where ${\Xi }_c(3055{)}^{+}$ has the total decay width $\Gamma =10.1$ MeV and $\Gamma =7.6$ MeV. The predicted ratios $\Gamma ({\Xi }_c(3055{)}^{+}\to \Lambda D^{+})/\Gamma ({\Xi }_c(3055{)}^{+}\to {\Sigma }_c^{++}{K}^{-})=3.39$. ${\Xi }_c(3055{)}^{+}$ is also very possibly a $J^P={\frac{7}{2}}^{+}$ ${\hat{\Xi }}_{c3}^{\prime }({\frac{7}{2}}^{+})$ or ${\check{\Xi }}_{c3}^2({\frac{7}{2}}^{+})$. In these two assignments, ${\Xi }_c(3055{)}^{+}$ has the total decay width $\Gamma =9.7$ MeV and $\Gamma =6.3$ MeV. The predicted ratios $\Gamma ({\Xi }_c(3055{)}^{+}\to \Lambda D^{+})/\Gamma ({\Xi }_c(3055{)}^{+}\to {\Sigma }_c^{++}{K}^{-})=5.91\mathrm{or}6.04$. As a isospin partner of ${\Xi }_c(3055{)}^{+}$, ${\Xi }_c(3055{)}^0$ is also very possibly a $J^P={\frac{5}{2}}^{+}$ ${\hat{\Xi }}_{c3}^{\prime }({\frac{5}{2}}^{+})$ or ${\check{\Xi }}_{c3}^2({\frac{5}{2}}^{+})$, where ${\Xi }_c(3055{)}^0$ has the total decay width $\Gamma =10.9$ MeV and $\Gamma =7.0$ MeV. The predicted ratios $\Gamma ({\Xi }_c(3055{)}^0\to \Lambda D^0)/\Gamma ({\Xi }_c(3055{)}^0\to {\Sigma }_c^{+}{K}^{-})=4.24\mathrm{or}4.20$. ${\Xi }_c(3055{)}^0$ is also very possibly a $J^P={\frac{7}{2}}^{+}$ ${\hat{\Xi }}_{c3}^{\prime }({\frac{7}{2}}^{+})$ or ${\check{\Xi }}_{c3}^2({\frac{7}{2}}^{+})$. In these assignments, ${\Xi }_c(3055{)}^0$ has the total decay width $\Gamma =10.3$ MeV and $\Gamma =7.1$ MeV. The predicted ratios $\Gamma ({\Xi }_c(3055{)}^0\to \Lambda D^0)/\Gamma ({\Xi }_c(3055{)}^0\to {\Sigma }_c^{+}{K}^{-})=7.47\mathrm{or}7.56$. The results agree well with recent experimental data from Belle. ${\Xi }_c(3080{)}^{+}$ seems impossible to be identified with a D-wave charmed strange baryon.

Comments: 9 pages, 1 figure, 6 tables, RevTex