Construction of spin−orbit potentials from the phase shifts at fixed energy

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Abstract
The nonrelativistic scattering of spin−1/2 particles by central and spin−orbit potentials is considered. The form of central and spin−orbit potentials is deduced from a knowledge of the S matrix as a function of angular momentum at a fixed energy. Similar to the case of central potentials, the problem of constructing central and spin−orbit potentials from information on the phase shifts at a fixed energy has an infinity of solutions, depending on an infinite number of parameters.