# Three-Body Decay of $\Lambda_c^{*} (2595)$ and $\Lambda_c^{*} (2625)$ with Consideration of $\Sigma_c(2455)\pi$ and $\Sigma_c^*(2520)\pi$ in Intermediate States

## TL;DR

This paper investigates the three-body decay processes of specific charmed baryons, incorporating intermediate states and effective couplings, to explain experimental decay widths and invariant mass distributions.

## Contribution

It introduces a detailed analysis of $\Lambda_c^*$ decays using effective Lagrangians with couplings from quark models, highlighting the importance of intermediate $\Sigma_c$ states.

## Key findings

- Decay widths are sensitive to coupling constants and intermediate states.
- $\Lambda_c^*(2595)$ and $\Lambda_c^*(2625)$ with $\lambda$ mode match experimental data.
- Invariant mass distributions vary with quark configurations.

## Abstract

Three-body decay of charmed baryons $\Lambda^*_c(2595)$ and $\Lambda^*_c(2625)$ 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 $\Sigma^*_c (2520)$ in intermediate states. The total decay widths are sensitive to the coupling of $\Lambda^*_c$ with $\Sigma_c \pi$ open channel and to $\Sigma^*_c \pi$ closed channel. We find that $\Lambda_c^*(2595)$ and $\Lambda_c^*(2625)$ with $\lambda$ mode assignment can explain nicely the experimental data. We also show invariant mass distributions of $\Lambda_c^*(2595)$ and $\Lambda_c^*(2625)$ decays which are significantly different for various quark configurations.