Model for the First Nucleon Recurrence

Abstract

A calculation of the position and width of the ${\frac{5}{2}}^{+}$ (1688) pion-nucleon resonance is made. Inelastic unitarity is used to generate the dynamics where single-pion exchange coupling $N\pi$ to $\mathrm{Nf}$ states provides an approximation for the force. Good agreement with experiment is obtained. A similar mechanism for generating higher $N\pi$ resonances is suggested.