Exploring the two-body strong decay properties of the possible ${\Lambda }_c{K}^{\ast }$ and ${\Sigma }_c{K}^{(\ast )}$ molecules

Abstract

In this work, we apply the effective Lagrangian approach to investigate the two-body strong decay behaviors of the possible ${\Lambda }_c{K}^{\ast }$ and ${\Sigma }_c{K}^{(\ast )}$ molecules, as predicted in our previous study [\href{https://doi.org/10.1103/PhysRevD.108.054011}{Phys. Rev. D \textbf{108}, 054011 (2023)}]. Our results indicate that the decay width for the coupled ${\Sigma }_{c}K/{\Lambda }_c{K}^{\ast }/{\Sigma }_c{K}^{\ast }$ molecule with $I(J^P)=1/2(1/2^{-})$ is on the order of several MeV, with the $D_{s}N$ channel being dominant. For the coupled ${\Lambda }_c{K}^{\ast }/{\Sigma }_c{K}^{\ast }$ molecule with $1/2(1/2^{-},3/2^{-})$, the decay widths are on the order of tens of MeV, with the dominant channels being ${\Sigma }_{c}K$ and ${\Sigma }_c^{\ast }K$, respectively. For the ${\Sigma }_c{K}^{\ast }$ molecules with $1/2(1/2^{-})$, the decay width can reach one hundred MeV, with ${\Sigma }_{c}K$ and ${\Lambda }_{c}K$ being the dominant decay channels. The decay widths for the ${\Sigma }_c{K}^{\ast }$ molecules with $1/2(3/2^{-})$ and $3/2(1/2^{-})$ are on the order of tens of MeV, with the dominant decay modes being ${\Sigma }_c^{\ast }K$ and ${\Sigma }_{c}K$, respectively. The branching ratios for all the discussed channels show little dependence on the binding energies.

Comments: 8 pages, 7 figures, to be published in Chinese Physics C