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An approximate inverse scattering method [7,8] has been used to constructseparable potentials with the Laguerre form factors. As an application, weinvert the phase shifts of proton-proton in the $^1S_0$ and $^3P_2-^3F_2$channels and neutron-proton in the $^3S_1-^3D_1$ channel elastic scattering. Inthe latter case the deuteron wave function of a realistic $np$ potential wasused as input.Comment: LaTex2e, 17 pages, 3 Postscript figures; corrected typo

NNpotentials from inverse scattering in theJ-matrix approach