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arXiv · 0812.2235

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

A. Martínez Torres·K. P. Khemchandani·E. Oset
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Abstract

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 $J^π=1/2^+$ 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 $Δ(1910)$, 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.

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A. Martínez Torres, K. P. Khemchandani, E. Oset. 2009-09-15. Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances. https://doi.org/10.1103/physrevc.79.065207

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