An $N/D$ study of the $S_{11}$ channel $\pi N$ scattering amplitude
2021
Extensive dynamical $N/D$ calculations are made in the study of $S_{11}$ channel low energy $\pi$N scatterings, based on various phenomenological model inputs of left cuts at tree level. The subtleties of the singular behavior of the partial wave amplitude at the origin of the complex $s$ plane are carefully analysed. It is found that, relying very little on the details of the dynamical inputs, the subthreshold resonance $N^*(890)$ survives.
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