Differential cross sections $d^2$σ/dΩ dE have been measured with a germanium telescope for the (${\pi }^{+}$,${\pi }^{+\mathcal{’}}$) reaction on C, Ca, Sn, and Pb at incident energies of 67, 85, and 100 MeV. The yields at backward angles along with available information on total reaction cross sections are interpreted in terms of a simple classical model in which it is assumed that free-space pion nucleon interaction parameters prevail inside the nucleus. Among the experimental findings which can be accounted for in terms of the model (to within 10–15 %) are the measured pion reaction cross sections and their dependence on target mass, the energy and mass dependences of the differential scattering cross section at backward angles, and the ratio of normal to charge exchange scattering cross sections. The model appears to overestimate the ratios ${\pi }^{\mathrm{-}}$ to ${\pi }^{+}$ reaction and scattering cross sections but there appear to be some inconsistencies in the available data.

• Received 22 April 1985

DOI:https://doi.org/10.1103/PhysRevC.33.208