Three-Body Decay of $Λ_c^{*}(2595)$ and $Λ_c^{*}(2625)$ with the Inclusion of Direct Two-Pion Coupling

Abstract

We investigate the three-body decays of $Λ_c^*(2595)$ and $Λ_c^*(2625)$ into $Λ_c ππ$ by including a direct process going through the two-pion coupling of $Λ_c^*Λ_c ππ$ in addition to the sequential processes going through $Σ_c(2455)$ and $Σ_c^*(2520)$. The strength of the direct coupling is related to that of the Yukawa coupling by the chiral partner structure between $Λ_c$'s and $Σ_c$'s, while the strength of the Yukawa coupling is estimated by the quark model. It is found that the direct process gives a considerable contribution especially in the decay of $Λ_c^*(2625)$. A clear indication of the direct process is seen in an asymmetric pattern in the angular correlation between the two pions. We discuss the usefulness of the detailed analysis of the decays for the study of the structure of $Λ_c^*$.