Three-body resonances in two-meson–one-baryon systems

Abstract

We report four \ensuremath{\Sigma}'s and three \ensuremath{\Lambda}'s, in the 1500--1800 MeV region, as two meson--one baryon S-wave $(1/2){}^{+}$ resonances. We solve Faddeev equations in the coupled channel approach. The invariant mass of one of the meson-baryon pairs and that of the three particles have been varied and peaks in the squared three body $T$-matrix have been found very close to the existing $S=\ensuremath{-}1,{J}^{P}=1/{2}^{+}$ low lying baryon resonances. The input two-body $t$-matrices for meson-meson and meson-baryon interaction have been calculated by solving the Bethe-Salpeter equation with the potentials obtained in the chiral unitary approach.