Strong Decays of observed ${\mathrm{\Lambda }}_c$ Baryons in the ${}^3{P}_0$ Model

The strong decay widths and some important branching ratios of possible Okubo-Zweig-Iizuka(OZI)-allowed strong decay channels of ${\mathrm{\Lambda }}_c(2595{)}^{+}$, ${\mathrm{\Lambda }}_c(2625{)}^{+}$, ${\mathrm{\Lambda }}_c(2765{)}^{+}$ (${\mathrm{\Sigma }}_c(2765{)}^{+}$), ${\mathrm{\Lambda }}_c(2860{)}^{+}$, ${\mathrm{\Lambda }}_c(2880{)}^{+}$ and ${\mathrm{\Lambda }}_c(2940{)}^{+}$ are computed in a ${}^3{P}_0$ model, and possible assignments of these ${\mathrm{\Lambda }}_c$ are given. (1), ${\mathrm{\Lambda }}_c(2595{)}^{+}$ and ${\mathrm{\Lambda }}_c(2625{)}^{+}$ are possibly the $1P$-wave charmed baryons ${\mathrm{\Lambda }}_{c1}({\frac{1}{2}}^{-})$ and ${\mathrm{\Lambda }}_{c1}({\frac{3}{2}}^{-})$, respectively. (2), ${\mathrm{\Lambda }}_c(2765{)}^{+}$ (${\mathrm{\Sigma }}_c(2765{)}^{+}$) seems impossibly the $1P$-wave ${\mathrm{\Lambda }}_c$, it could be the $2S$-wave or $1D$-wave charmed baryon. So far, the experimental information has not been sufficient for its identification. (3), ${\mathrm{\Lambda }}_c(2860{)}^{+}$ seems impossibly $2S$-wave charmed baryon, it may be the $P$-wave ${\tilde{\mathrm{\Lambda }}}_{c2}^{}({\frac{3}{2}}^{-})$ or $\tilde\Lambda_{c2}^{ }(\frac{5}{2}^-)$,itcouldalsobethe$D$-wave$\check\Lambda_{c1}^{2}(\frac{1}{2}^+)$or$\check\Lambda_{c1}^{2}(\frac{3}{2}^+)$\mathrm{.}Ifthehypothesisthat$\Lambda_c(2860)^+$has$J^P={3\over 2}^+$istrue,$\Lambda_c(2860)^+$ is possibly the $D$-wave ${\check{\mathrm{\Lambda }}}_{c1}^2({\frac{3}{2}}^{+})$ which has a predicted branching ratio $R=\mathrm{\Gamma }({\mathrm{\Sigma }}_c(2520)\pi )\mathrm{/}\mathrm{\Gamma }({\mathrm{\Sigma }}_c(2455)\pi )=2.8$. (4), ${\mathrm{\Lambda }}_c(2880{)}^{+}$ is impossibly a $1P$-wave or $2S$-wave charmed baryon, it may be a $D$-wave ${\check{\mathrm{\Lambda }}}_{c3}^2({\frac{5}{2}}^{+})$ with ${\mathrm{\Gamma }}_{total}=1.3$ MeV. The predicted branching ratio $R=\mathrm{\Gamma }({\mathrm{\Sigma }}_c(2520)\pi )\mathrm{/}\mathrm{\Gamma }({\mathrm{\Sigma }}_c(2455)\pi )=0.35$, which is consistent with experiment. (5), ${\mathrm{\Lambda }}_c(2940{)}^{+}$ is the $P$-wave ${\tilde{\mathrm{\Lambda }}}_{c2}^{}({\frac{3}{2}}^{-})$ or $\tilde\Lambda_{c2}^{ }(\frac{5}{2}^-)$,itisalsopossiblythe$D$-wave$\check\Lambda_{c3}^{2}(\frac{5}{2}^+)$or$\check\Lambda_{c3}^{2}(\frac{7}{2}^+)$.