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

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 $KN$ $t$-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.