If the neutron-nucleus scattering amplitudes for no spin change, $f\left(\theta \right)$, and for spin flip, $g\left(\theta \right)$, are given at a fixed energy, then by replacing the Schrödinger equation in the interior of the potential by a difference equation it is possible to construct the optical potential including the spin-orbit force. The method has been applied to obtain local interactions for $n$-${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and $n$-${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$.

NUCLEAR REACTIONS Construction of neutron-nucleus optical potential; $n$-${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and $n$-${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ scattering at low energies.

• Received 17 August 1981

DOI:https://doi.org/10.1103/PhysRevC.25.1187