Phase shift effective range expansion from supersymmetric quantum mechanics

Supersymmetric or Darboux transformations are used to construct local phase equivalent deep and shallow potentials for lnot equal0 partial waves. We associate the value of the orbital angular momentum with the asymptotic form of the potential at infinity, which allows us to introduce adequate long-distance transformations. The approach is shown to be effective in getting the correct phase shift effective range expansion. Applications are considered for the P-1(1) and D-1(2) partial waves of the neutron-proton scattering.