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

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.