We deal with the Hamiltonian hierarchy problem of the supersymmetry quantum mechanics for the Hulthen potential and find that the associated "supersymmetric partners" belong to the Eckart class of potentials. The partner potentials, on the one hand, simulate the effect of the centrifugal barrier fairly accurately at least for few lower partial waves and, on the other hand, provide a natural basis for writing expressions for higher partial wave Jost functions. We present specific results for the p and d waves and examine their Coulomb limits.which has a ground state ()pI) ', EI) ') can be factorized as

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A judiciously-chosen deuteron ground-state wave function is used in the supersymmetry-inspired factorization method to generate approximate higher partial wave nucleon-nucleon central potentials. The results for the scattering phase shifts are computed and analysed for n-p scattering.

A regular solution for the Manning–Rosen potential is constructed by adapting the differential equation approach to the problem. The Jost solution and the Jost function are found by exploiting the relation between regular and irregular solutions. The Jost function thus obtained is applied for the first time to find bound state energies and the scattering phase shifts for nuclear systems.

A simple potential model of the Hulthen type without spin-orbit coupling is considered as the ground-state interaction, and in conjunction with supersymmetric quantum mechanics, higher partial-wave interactions are developed to study the scattering of nucleons from light nuclei. The phase function method is adopted to deal with scattering phase shifts. Applying certain energy-dependent correction factors to our interactions, a close agreement with experimental data is obtained for the elastic scattering of nucleons from alpha particles up to 12 MeV.