Equivalent local potentials to multiple scattering calculations of nucleon-nucleus scattering

Local phase equivalent interactions to the nonlocal Kerman, McManus, and Thaler multiple scattering nucleon-nucleus optical potentials are determined. Both first- and second-order contributions in the free nucleon-nucleon transition amplitude are included. The second-order terms modify the derived potentials in a nontrivial way and reduce the strnegths of the real and imaginary central potentials in the nuclear interior. The nonlocality of the first- and second-order multiple scattering potentials is quantified by the evaluation of an associated Perey factor. Calculations give a mean free path of λ=3–4 fm for 100–200 MeV incident nucleons on ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$.