Elastic and inelastic scattering of unpolarized 40-MeV protons from ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}$, ${}_{}{}^{56}{}_{}{}^{}\mathrm{Fe}$, ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$, ${}_{}{}^{60}{}_{}{}^{}\mathrm{Ni}$, and ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ have been analyzed using the optical-model potential and its collective-model extension in the distorted-wave approximation. Fits to the inelastic scattering from ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ and to the elastic scattering from ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{65}{}_{}{}^{}\mathrm{Cu}$, Sn, and ${}_{}{}^{181}{}_{}{}^{}\mathrm{Ta}$ also are included. The Woods-Saxon shape parameters for the potential differ from those suggested for scattering at lower energies, and either surface or volume forms of the imaginary part produce good agreement with the data. To describe the inelastic scattering best, it is found necessary to deform the imaginary (as well as the real) part of the central potential. The deformation parameters obtained are in reasonable agreement with those found by other methods.

• Received 29 March 1965

DOI:https://doi.org/10.1103/PhysRev.139.B567