Phenomenological MultichannelND−1Analysis ofπNScattering

We investigate a multichannel $N{D}^{-1\mathrm{}}$ parametrization for the $\pi -N$ partial-wave amplitudes. Using a two-channel, one-input-pole form of the model, we present fits to all the interesting $\pi -N$ partial waves up to pion laboratory kinetic energy ∼1.4 BeV. Reasonable fits are obtained for most of the partial waves. An exceptionally good fit is obtained for the $P_{33}$ partial wave, in which the ${N_{33}}^{*}$ resonance appears as a quasi-bound state with respect to the higher-mass inelastic channel. Applications of the model are discussed.