Inversion procedure for a pion-nucleonTmatrix

Abstract

The solution of the inverse scattering problem for a separable model of the pion-nucleon $T$ matrix is obtained. The model is based on the Feshbach-Villars Hamiltonian formulation of the Klein-Gordon equation, and includes the left hand cut in the complex energy plane associated with crossing, as well as the direct and crossed nucleon poles. Numerical results are given for the four $P$-wave channels.