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Understanding neutron-proton(np) interaction has been one of the most studiedproblems. One way to construct model interaction has been using inversionpotentials obtained from experimental scattering phase shifts(SPS). Here, weshow that, inverse potentials corresponding to SPS for various l-channels of npinteraction can be obtained using variational Monte-Carlo(VMC) technique intandem with phase function method(PFM) by modeling np-interaction as a Morsefunction. The S-channel SPS for 3S1 and 1S0 have been obtained, with a meanpercentage error with respect to experimental multiple energy analysis data forlab energies up to 1050 MeV, to less than 5%. Similarly, inverse potential for1S0 pp interaction, with Coulomb term modeled as proportional to erf(), hasalso been obtained to match experimental values to less than 4%. Non-local andspin-orbit terms are included to obtain inverse potentials for P and D channelsand results match with available data to a good extent.

Neutron-Proton Interaction Modeled using Morse Function: Constructing Inverse Potentials Using Variational Monte-Carlo and Phase Function Method