A quantal method to construct equivalent local potentials for the resonating group method nonlocal kernels is presented. The method requires two linearly independent solutions of the resonating group method integrodifferential equation. This Wronskian equivalent local potential is generally smooth, well behaved at all energies and partial waves, and is free of singularities. Therefore it can be used for interpreting purposes where the semiclassical method of Horiuchi either fails (low energies, small size of nuclei, comparable ranges of nonlocality and nucleus, etc.) or is multivalued. The necessity and importance of renormalization of the wave functions are discussed. The kernel need not be renormalized. Results are given for an n+α system and the l, E, r, and parity dependence of the system is investigated.

• Received 14 October 1986

DOI:https://doi.org/10.1103/PhysRevC.35.894