# Role of the $N^*(1535)$ in the $\Lambda^+_c \to \bar{K}^0 \eta p$ decay

## TL;DR

This paper investigates the role of the $N^*(1535)$ resonance in the decay $oldsymbol{ ext{Lambda}_c^+ o ar{K}^0 ext{eta} p}$ using two theoretical models, aiming to understand its properties through invariant mass distributions.

## Contribution

It compares the $N^*(1535)$ resonance behavior in $ ext{Lambda}_c^+$ decay using chiral unitary and effective Lagrangian approaches, highlighting differences and potential experimental tests.

## Key findings

- Different resonance behaviors in the two models.
- Invariant mass distribution sensitive to $N^*(1535)$ properties.
- Potential for experimental validation at BEPC II and SuperKEKB.

## Abstract

The nonleptonic weak decay of $\Lambda^+_c \to \bar{K}^0 \eta p$ is analyzed from the viewpoint of probing the $N^*(1535)$ resonance, which has a big decay branching ratio to $\eta N$. Up to an arbitrary normalization, the invariant mass distribution of $\eta p$ is calculated with both the chiral unitary approach and an effective Lagrangian model. Within the chiral unitary approach, the $N^*(1535)$ resonance is dynamically generated from the final state interaction of mesons and baryons in the strangeness zero sector. For the effective Lagrangian model, we take a Breit-Wigner formula to describe the distribution of the $N^*(1535)$ resonance. It is found that the behavior of the $N^*(1535)$ resonance in the $\Lambda^+_c \to \bar{K}^0 N^*(1535) \to \bar{K}^0 \eta p$ decay within the two approaches is different. The proposed $\Lambda^+_c$ decay mechanism can provide valuable information on the properties of the $N^*(1535)$ and can in principle be tested by facilities such as BEPC II and SuperKEKB.