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

Authors: A. Martinez Torres, K.P. Khemchandani, E. Oset

Ref.: Phys.Rev.C 79 (2009)

Abstract: We solve the Faddeev equations for the two meson-one baryon system $pipi N$ and coupled channels using the experimental two-body $t$-matrices for the $pi N$ 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 $pipi N$ channel, we obtain, for $J^pi=1/2^+$ and total isospin of the three-body system $I=1/2$, a resonance peak whose mass is around 2080 MeV and width 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 $Delta (1910)$, respectively. We obtain another peak in the isospin 1/2 configuration, around 1920 MeV which can be interpreted as a resonance in the $N a_0(980)$ and $N f_0(980)$ systems.

DOI: 10.1103/PhysRevC.79.065207