Three-Body Decay of ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ with Consideration of ${\Sigma }_c(2455)\pi$ and ${\Sigma }_c^{\ast }(2520)\pi$ in Intermediate States

Abstract

Three-body decay of charmed baryons ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ into ${\Lambda }_c\pi \pi$ are studied with effective Lagrangians in which the coupling constants are extracted from the non-relativistic quark model. We take into account sequential processes going through ${\Sigma }_c(2455)$ and ${\Sigma }_c^{\ast }(2520)$ in intermediate states. The total decay widths are sensitive to the coupling of ${\Lambda }_c^{\ast }$ with ${\Sigma }_c\pi$ open channel and to ${\Sigma }_c^{\ast }\pi$ closed channel. We find that ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ with $\lambda$ mode assignment can explain nicely the experimental data. We also show invariant mass distributions of ${\Lambda }_c^{\ast }(2595)$ and ${\Lambda }_c^{\ast }(2625)$ decays which are significantly different for various quark configurations.

Comments: 9 pages, 9 figures