The masses and decay widths of the S-wave Λ_cΛ̅_c bound states

In this work, we investigate possible bound states of the Λ_cΛ̅_c system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation, we confirm the existence of Λ_cΛ̅_c bound states with quantum numbers J^PC=0^-+ and J^PC=1^–. We further investigate the partial decay widths of the Λ_cΛ̅_c bound states into NN̅, DD̅, DD̅^∗, D^∗D̅^∗, ππ̅, and KK̅. Our results indicate that the decay width of the Λ_cΛ̅_c bound state with J^PC=1^– is much larger than that with J^PC=0^-+, and among their decay channels, the DD̅^∗ final state is the main decay mode. We suggest experiments to search for the Λ_cΛ̅_c bound states in the DD̅^∗ final state.