The dynamically generated $N(1535)$ state in the $\hat{I}{›}_c^{+}\to p{\bar{K}}^0\ddot{I}{€}^0$ decay

Abstract

We present a theoretical analysis of the process $\hat{I}{›}_c^{+}\to p{\bar{K}}^0\ddot{I}{€}^0$ 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 $N(1650)$, $K^{\ast }(892)$, $K_0^{\ast }(1430)$, $N(1440)$, and $\hat{I}\pounds (1750)$. 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.

8 pages, 6 figures