Elastic and inelastic scattering of 162 MeV pions bySi28,Ni58, andPb208

Angular distributions for the elastic and inelastic scattering of 162 MeV ${\pi }^{+}$ and ${\pi }^{-}$ by Si, ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$, and ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ have been measured. The elastic scattering data are fitted with optical model calculations in configuration space. Momentum-space optical-model calculations qualitatively reproduce the elastic scattering data, but substantially better agreement can be obtained if suitable modifications to the model are made. Distorted-wave impulse approximation calculations of the inelastic scattering, using both configuration-space and momentum-space models, generally reproduce the experimental data.