Pion-Nucleon Potentials for Use in Low-Energy Nuclear Physics

One- and two-term nonlocal separable potentials are determined to fit all partial $S$-, $P$-, and $D$-wave experimental phase shifts up to the first energy resonance at about $E_{\pi }=180\mathrm{}$ MeV (lab). The theoretical and experimental phase shifts, scattering lengths, and volumes are in good agreement. The practical use of this potential in nuclear physics calculations is simplified by the choice of simple form factors and of identical ranges in all $S$, $P$, and $D$ relative states.