Strong decay of ${\Lambda }_c(2940)$ as a $2P$ state in the ${\Lambda }_c$ family

Abstract

Considering the mass, parity and $D^{0}p$ decay mode, we tentatively assign the ${\Lambda }_c(2940)$ as the $P-$wave states with one radial excitation. Then, via studying the strong decay behavior of the ${\Lambda }_c(2940)$ within the ${}^3{P}_0$ model, we obtain that the total decay widths of the ${\Lambda }_{c1}({\frac{1}{2}}^{-},2P)$ and ${\Lambda }_{c1}({\frac{3}{2}}^{-},2P)$ states are 16.27 MeV and 25.39 MeV, respectively. Compared with the experimental total width $27.7_{-6.0}^{+8.2}\pm 0.9_{-10.4}^{+5.2}\mathrm{MeV}$ measured by LHCb Collaboration, both assignments are allowed, and the $J^P={\frac{3}{2}}^{-}$ assignment is more favorable. Other $\lambda -$mode ${\Sigma }_c(2P)$ states are also investigated, which are most likely to be narrow states and have good potential to be observed in future experiments.

Comments: 7 pages, 4 figures, 4 tables