The dynamically generated $N(1535)$ state in the $\Lambda_c^+ \to p\bar{K}^0 \pi^0$ decay

TL;DR

This paper uses a chiral unitary approach to analyze the decay $\Lambda_c^+ o par{K}^0 \pi^0$, emphasizing the dynamically generated $N(1535)$ resonance and matching recent experimental data.

Contribution

It demonstrates that the $N(1535)$ resonance can be understood as a dynamically generated state from meson-baryon interactions in this decay.

Findings

Invariant mass distributions agree with Belle data.

Highlights the role of $N(1535)$ as a dynamically generated resonance.

Includes contributions from multiple intermediate resonances.

Abstract

We present a theoretical analysis of the process $\Lambda_c^+ \to p\bar{K}^0 \pi^0$ within the chiral unitary approach, with particular emphasis on the dynamically generated $N(1535)$ resonance. In addition to $N(1535)$, our model incorporates contributions from other intermediate resonances including $N(1650)$, $K^*(892)$, $K_0^*(1430)$, $N(1440)$, and $\Sigma(1750)$. The calculated invariant mass distributions and Dalitz plot are in good agreement with the recent Belle measurements. Our analysis highlights the crucial role of $N(1535)$ state in this decay channel and supports its interpretation as a dynamically generated state arising from coupled-channel meson-baryon interactions.