Theoretical study of $N(1535)$ and $\Sigma^*(1/2^-)$ in the Cabibbo-favored process $\Lambda_c^+ \to p \bar{K}^0\eta$

TL;DR

This paper investigates the $ m f extit{N}(1535)$ and $ m f extit{ extSigma^*(1/2^-)}$ resonances in the $ m f extLambda_c^+ o p ar{K}^0 exteta$ decay, supporting the interpretation of $ m f extit{N}(1535)$ as a dynamically generated state through chiral unitary approach.

Contribution

It introduces a chiral unitary approach to study the $ m f extLambda_c^+ o p ar{K}^0 exteta$ decay, including the $ m f extit{N}(1535)$ and $ m f extSigma^*(1/2^-)$ resonances, and compares results with experimental data.

Findings

Supports $N(1535)$ as a dynamically generated state.

Including $ extSigma^*(1/2^-)$ improves agreement with measurements.

Future measurements can clarify the existence of $ extSigma^*(1/2^-)$.

Abstract

Motivated by the recent experimental measurements, we have investigated the Cabibbo-favored process $\Lambda_c^+ \to p \bar{K}^0\eta$, where the $N(1535)$ resonance is dynamically generated from the $S$-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach. The contributions from the intermediate $N(1650)$ and the predicted low-lying baryon $\Sigma^*(1/2^-)$ are also considered. In addition, a Breit-Wigner amplitude for the $N(1535)$ resonance is checked. By comparing with the measured $\eta p$, $\bar{K}^0 \eta$, and $p \bar{K}^0$ invariant mass squared distributions, our results support the interpretation of $N(1535)$ as a dynamically generated state. Furthermore, we demonstrate that, with the contribution from $\Sigma^*(1/2^-)$ taken into account, the calculated invariant mass spectrum agrees with the Belle measurements. Future precise measurements of the $\Lambda_c^+\to p \bar{K}^0\eta$ process can further elucidate the existence of the low-lying baryon $\Sigma^*(1/2^-)$.