  In this paper, we determine deuteron's static properties, low energy
scattering parameters, total cross-section and form factors from inverse S-wave
potentials constructed using Morse function. The scattering phase shifts (SPS)
at different lab energies are determined using phase function method. The model
parameters are optimised using both machine learning algorithm and traditional
data analysis by choosing mean squared error as cost function. The mean
absolute error between experimental and obtained SPS for states 3S1 and 1S0 are
found to be 0.35 and 0.70 respectively. The low energy scattering parameters
are matching well with expected values. The contribution due to S-waves SPS
towards total cross-section at various energies have been obtained and are
matching well with experimental values. The analytical ground state deuteron
wave-function (DWF) is obtained by utilizing the experimental value for
Quadrupole moment. Other static properties and form factors determined from
obtained DWF are found to be in close agreement with experimental ones.
