# Decay behaviors of possible $\Lambda_{c\bar{c}}$ states in hadronic molecule pictures

## TL;DR

This paper investigates the decay behaviors of hypothesized $ ext{Lambda}_{car{c}}$ states as hadronic molecules, providing predictions on their decay channels and widths to guide future experimental searches and understand their internal structures.

## Contribution

It applies an effective Lagrangian framework to analyze decay patterns of $ ext{Lambda}_{car{c}}$ states, offering detailed predictions for various molecular configurations.

## Key findings

- $ ext{Lambda}_{car{c}}(4213)$ and $ ext{Lambda}_{car{c}}(4403)$ mainly decay to $ ext{eta}_c ext{Lambda}$.
- Decay widths differ significantly between $J^P=\frac{1}{2}^-$ and $\frac{3}{2}^-$ states.
- Distinct decay patterns help distinguish molecular configurations of these states.

## Abstract

In 2010, $\Lambda^*_{c\bar{c}}$ states were predicted as the strange number $S=-1$ partners of $N^*_{c\bar{c}}$, which are well known now as the $P_c$ states and observed experimentally by LHCb Collaboration. We analyze the decay behaviors of $\Lambda_{c\bar{c}}$ as S-wave hadronic molecules within the effective Lagrangian framework by a similar method, which has been applied on $P_c$ states successfully. With partial widths of possible decay channels calculated, we find that $\Lambda_{c\bar{c}}(4213)$ and $\Lambda_{c\bar{c}}(4403)$, which are formed as pseudoscalar meson baryon molecules, mainly decay to the $\eta_c \Lambda$ channel. For the two vector meson baryon molecule states, our results show that the total decay width with $J^P=\frac12^-$ is by one order of magnitude larger than that with $J^P=\frac32^-$. The decay patterns and relative decay ratios are very different for $\Lambda_{c\bar{c}}(4370)$ being a $D_s^{* -} \Lambda_c^+$ or $\bar{D}^{*} \Xi_c$ molecule state. The main decay channels of $\Lambda_{c\bar{c}}(4550)$ are $\bar{D}^{(*)} \Xi^{(*,\prime)}_c$ because of the pseudoscalar meson exchange mechanism. In addition, $\bar{D}^{*} \Xi_c$ is the dominant decay channel of $\Lambda_{c\bar{c}}(4490)$ which is assumed as a $\bar{D} \Xi_c^{*}$ bound state. These decay patterns of the $\Lambda^*_{c\bar{c}}$ states would provide a guidance for their future experimental searches and help us to understand their internal structures.