Theoretical interpretation of ${\Xi }_c(2970)$

Abstract

The open charm strong decay widths and certain ratio of branching fractions of a charmed strange baryon ${\Xi }_c(2970)$ are calculated in a ${}^3{P}_0$ model. The results are compatible with the latest experimental data. The theoretical ratio of decay branching fractions $R=\mathcal{B}[{\Xi }_c(2970{)}^{+}\to {\Xi }_c(2645{)}^0{\pi }^{+}]/\mathcal{B}[{\Xi }_c(2970{)}^{+}\to {\Xi }_c^{\prime 0}{\pi }^{+}]\approx 1.0$. The spin-parity $J^P=1/2^{+}$ and $3/2^{+}$ for different assignments are analyzed. From the results of our calculation, ${\Xi }_c(2970)$ can be interpreted as a $2S$-wave state with $J^P(s_l)=1/2^{+}(0)$. The distinguishing between the 2S-wave $n_{\rho }$- and $n_{\lambda }$-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.

5 pages, 1figuure, revtex4-1, pdflatex