A nonlocal optical model is used to analyze the scattering of neutrons by ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$, and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ in the energy region from about 13 to 40 MeV. The real part of the internuclear interaction is obtained by using the prescription of a recently proposed nucleon + nucleus model K, which is a microscopic model based on the resonating-group formulation. A simple approximation, called the spherical approximation, is introduced to treat the cases involving non-closed-subshell target nuclei. The imaginary part used is purely phenomenological, and is obtained by simply adopting the imaginary potentials which have been found previously by other authors in their analyses with the usual local optical model. The influence of the Perey effect is taken into account by the introduction of an additional multiplicative factor. The results obtained for the differential scattering cross sections and the analyzing powers are quite satisfactory. The essential characteristics of the measured angular distributions are well reproduced. This suggests that model K is a viable model of great simplicity and can be employed to make systematic and large-scale analyses of all existing nucleon + nucleus scattering data.

• Received 10 February 1992

DOI:https://doi.org/10.1103/PhysRevC.46.298