Revisiting the $\Lambda_c^+\to \Lambda \eta \pi^+$ and the roles of intermediate resonances

TL;DR

This paper reviews and extends the understanding of the decay process $oldsymbol{ ext{Lambda}_c^+ o ext{pi}^+ ext{eta} ext{Lambda}}$, highlighting the roles of intermediate resonances and matching recent experimental data.

Contribution

It provides a theoretical analysis of the decay process, demonstrating the dynamical generation of resonances and emphasizing the significance of spin flip contributions in the decay mechanism.

Findings

Resonances $a_0(980)$ and $ ext{Lambda}(1670)$ are dynamically generated.

Theoretical results agree with experimental invariant mass distributions.

Spin flip contributions are crucial for understanding the decay process.

Abstract

In this paper, we first review the theoretical and experimental studies of the process $\Lambda_c^+ \to \pi^+ \eta \Lambda$. Motivated by the recent BESIII and Belle measurements, we have conducted a theoretical study of the process $\Lambda_c^+ \to \pi^+ \eta \Lambda$, where the $a_0(980)$ and $\Lambda(1670)$ resonances are dynamically generated from the $S$-wave meson meson and meson baryon interaction, respectively. Our results give a reasonable description of the invariant mass distributions, which implies that the spin flip contribution in the $\Sigma(1385)$ excitation plays an important role.