NN potentials from inverse scattering in the J-matrix approach

An approximate inverse scattering method has been used to construct separable potentials with the Laguerre form factors. As an application, we invert the phase shifts of proton-proton in the 1S0 and 3P2-3F2 channels and neutron-proton in the 3S1-3D1 channel elastic scattering. In the latter case the deuteron wavefunction of a realistic np potential was used as input.