Theoretical interpretation of Ξ c (2970 )

The open charm strong decay widths and certain ratio of branching fractions of a charmed strange baryon ${\\mathrm{\\ensuremath{\\Xi}}}_{c}(2970)$ are calculated in a $^{3}{P}_{0}$ model. The results are compatible with the latest experimental data. The theoretical ratio of decay branching fractions $R=\\mathcal{B}[{\\mathrm{\\ensuremath{\\Xi}}}_{c}(2970{)}^{+}\\ensuremath{\\rightarrow}{\\mathrm{\\ensuremath{\\Xi}}}_{c}(2645{)}^{0}{\\ensuremath{\\pi}}^{+}]/\\mathcal{B}[{\\mathrm{\\ensuremath{\\Xi}}}_{c}(2970{)}^{+}\\ensuremath{\\rightarrow}\\phantom{\\rule{0ex}{0ex}}{\\mathrm{\\ensuremath{\\Xi}}}_{c}^{\\ensuremath{\u0027}0}{\\ensuremath{\\pi}}^{+}]\\ensuremath{\\approx}1.0$. The spin parity ${J}^{P}=1/{2}^{+}$ and $3/{2}^{+}$ for different assignments are analyzed. From the results of our calculation, ${\\mathrm{\\ensuremath{\\Xi}}}_{c}(2970)$ can be interpreted as a $2S$-wave state with ${J}^{P}({s}_{l})=1/{2}^{+}(0)$. The distinctions between the $2S$-wave ${n}_{\\ensuremath{\\rho}}$- and ${n}_{\\ensuremath{\\lambda}}$-excitation states and between states with ${s}_{l}=0$ and ${s}_{l}=1$ and between states with total spin $1/2$ and $3/2({s}_{l}=1)$ are also discussed.