Studying the heavy quark spin symmetry multiplet of hadronic molecules $\bar{D}^{(*)}\Sigma_c^{(*)}$ in the three-body decays of $\bar{D}^{(*)}\Lambda_c \pi$

TL;DR

This paper investigates the decay behaviors of heavy quark spin symmetry multiplets of hadronic molecules, specifically $ar{D}^{(*)}\Sigma_c^{(*)}$, using effective Lagrangian methods to identify promising decay channels for experimental detection.

Contribution

It systematically analyzes the decay patterns of $ar{D}^{(*)}\Sigma_c^{(*)}$ molecules, highlighting $ar{D}^{(*)}\Lambda_c \pi$ as key channels for understanding their molecular structure.

Findings

Partial decay widths into $ar{D}^{(*)}\Lambda_c \\pi$ are sizable.

These decay channels are promising for experimental searches.

Results support the molecular interpretation of hidden-charm pentaquarks.

Abstract

The decay behavior of an exotic state can be used to probe its internal structure. We note that the hidden-charm pentaquark states, $P_{\psi}^{N}(4312)$, $P_{\psi}^{N}(4440)$, and $P_{\psi}^{N}(4457)$, have only been observed in the $J/\psi p$ channel. In this work, we employ the effective Lagrangian approach to systematically investigate the two-body and three-body decays of the heavy quark spin symmetry multiplet of hadronic molecules $\bar{D}^{(*)}\Sigma_c^{(*)}$. Our results show that the partial decay widths of the hidden-charm pentaquark molecules into $\bar{D}^{(*)}\Lambda_c \pi$ are sizable so that $\bar{D}^{(*)}\Lambda_c \pi$ are promising channels to search for them, which can help clarify their molecular nature.