EQUIVALENCE BETWEEN DEEP ENERGY-DEPENDENT AND SHALLOW ANGULAR-MOMENTUM-DEPENDENT POTENTIALS

Marchenko inversion followed by Bayes supersymmetric transformation scheme determines shallow, l-dependent but energy-independent singular local potentials that are strictly phase equivalent to given nonlocal resonating group model interactions. The resulting potential has none of the Pauli forbidden states present in the corresponding resonating group model interaction, but ensures that a generalized Levinson theorem is still valid. The intermediate step of Marchenko inversion is introduced to transform the energy-dependent deep local potentials of Horiuchi, which are phase and spectrum equivalent to the resonating group model interaction, into an energy-independent potential, suitable for the application of Bayes supersymmetric scheme for the removal of the Pauli forbidden states. © 1990 The American Physical Society.