6533b7d4fe1ef96bd1261c3f

RESEARCH PRODUCT

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

subject

description

We solve the Faddeev equations for the two meson-one baryon system $\ensuremath{\pi}\ensuremath{\pi}N$ and coupled channels using the experimental two-body $t$ matrices for the $\ensuremath{\pi}N$ 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 $\ensuremath{\pi}\ensuremath{\pi}N$ channel, we obtain, for ${J}^{\ensuremath{\pi}}=1/{2}^{+}$ and total isospin of the three-body system $I=1/2$, a resonance peak whose mass is around 2080 MeV and width 54 MeV, while for $I=3/2$ we find a peak around 2126 with 42 MeV of width. These two resonances can be identified with the ${N}^{*}(2100)$ and the $\ensuremath{\Delta}(1910)$, respectively. We obtain another peak in the isospin $1/2$ configuration, around 1920 MeV that can be interpreted as a resonance in the $N{a}_{0}(980)$ and $N{f}_{0}(980)$ systems.