Searching for exotic states in the $N \pi K $ system

TL;DR

This study investigates the $N \, \pi \, K$ system using Faddeev equations and chiral dynamics to search for strangeness +1 resonances, finding no clear evidence of such states but identifying a broad resonance around 1700 MeV.

Contribution

The paper applies a three-body Faddeev formalism with chiral dynamics to explore potential exotic states in the $N \, \pi \, K$ system, extending previous methods used for $S=-1$ channels.

Findings

No evidence of strangeness +1 resonances in the $N \, \pi \, K$ system.

A broad resonance around 1700 MeV with isospin 0 was observed.

Isospin 1 and 2 configurations showed no resonant structures.

Abstract

We study the $N \pi K$ system in order to investigate the possibility of existence of strangeness +1 resonance(s). The formalism consists of solving the Faddeev equations with the $N \pi$, $\pi K $ and $K N$ $t$-matrices obtained from chiral dynamics. The same formalism, which leads to the finding of several $1/2^+$ resonances in the corresponding three-body $S$ = -1 channels in the 1400-2000 MeV energy region, results into only one broad bump around 1700 MeV with isospin 0. The amplitudes in isospin 1 and 2 configuration do not have any resonant structure.