Determination of the neutron-nucleus optical potential from the angular dependence of the scattering amplitude

Abstract
If the neutron-nucleus scattering amplitudes for no spin change, f(θ), and for spin flip, g(θ), 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-O16 and n-Ca40.