Implications of high energy pion-nucleon scattering data for pion-nucleus scattering

Abstract

Energy-dependent separable potentials are generated by solving the inverse problem for three sets of pion-nucleon phase shifts which differ only at very high ($E_{\mathrm{c}.\mathrm{m}.\mathrm{}}>1900\mathrm{}$ MeV) energies. While the off-shell $t$ matrices thus generated have substantial differences, these effects are small for $\pi$-nucleus cross sections as calculated within the impulse approximation.