Phase-equivalent potential construction by SUSY transformations

It is known that by the judicious use of the algebra of supersymmetry, a potential can be constructed with bound states at arbitrary energies. The SUSY transformation, a mathematical transformation which falls under SUSY algebra, is used to generate phase equivalent potentials with some desired alterations. There are 4 different types of SUSY transformations, using which, a supersymmetric partner to the Hamiltonian of a given radial Schrödinger equation can be formed. The ¹S₀ and ³S₁ states for n-p system and ¹S₀ state for p-p system are in good agreement with standard data and up to 50 MeV. For α-p system 1/2(+), 1/2(-), 3/2(+) and 3/2(-) states are in good agreement with experimental data. The phase parameters for ¹P₁ n-p and ³P₁ p-p states follow similar trends with reference data and with slight deviations in their numerical values. Thus, we conclude that the SUSY transformations work to some good extent for generation of various phase equivalent potentials