$K\Lambda(1405)$ configuration of the $K\bar{K}N$ system

TL;DR

This paper investigates the $Kar{K}N$ system, confirming a new $N^{*}$ resonance around 1920 MeV with $J^{}=1/2^{+}$, through coupled-channel Faddeev equations and potential models, highlighting the role of $a_{0}(980)$ as a generated state.

Contribution

It introduces a coupled-channel Faddeev approach to study the $Kar{K}N$ system and predicts a new $N^{*}$ resonance, linking it to the $a_{0}(980)N$ state.

Findings

Confirmation of a new $N^{*}$ resonance around 1920 MeV

Identification of the $a_{0}(980)N$ state within the system

Validation of the resonance using both Faddeev equations and potential models

Abstract

We study the $K\Lambda(1405)$ configuration of the $K\bar{K}N$ system by considering $K\pi\Sigma$ as a coupled channel. We solve the Faddeev equations for these systems and find confirmation of the existence of a new $N^{*}$ resonance around 1920 MeV with $J^{\pi}=1/2^{+}$ predicted in a single-channel potential model and also found in a Faddeev calculation as an $a_{0}(980)N$ state, with the $a_{0}(980)$ generated in the $K\bar{K}$, $\pi\eta$ interaction.