Solution to Faddeev equations with two - body experimental amplitudes as input and application to J P = 1 / 2 + , S = 0 baryon resonances

We solve the Faddeev equations for the two meson-one baryon system ππN and coupled channels using the experimental two-body t-matrices for the πN interaction as input and unitary chiral dynamics to describe the interaction between the rest of coupled channels. In addition to the N(1710) obtained before with the ππN channel, we obtain, for Jπ = 1/2 and total isospin of the three-body system I = 1/2, a resonance peak whose mass is around 2080 MeV and width of 54 MeV, while for I = 3/2 we find a peak around 2126 MeV and 42 MeV of width. These two resonances can be identified with the N(2100) and the ∆(1910), respectively. We obtain another peak in the isospin 1/2 configuration, around 1920 MeV which can be interpreted as a resonance in the Na0(980) and Nf0(980) systems.