Solution of the inversion problem for nonspherically symmetric separable potentials

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Abstract
An analytic solution is presented for the problem of construction of a nonspherically symmetric separable potential from scattering data. The input data employed consists of the forward and backward values of the scattering amplitude for all the directions of incidence and at all the energies. The authors' result is a generalization of the solution given by Gourdin and Martin for the spherically symmetric case. Possible applications of effective interactions so determined are briefly discussed.