Local Inter-Nucleus Potential and Pauli-Forbidden States

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Abstract
Microscopic derivation of the local inter-nucleus potential inevitably faces the problem of how to embody into the local potential the prohibition for the relative wave function to occupy the Pauli-forbidden states. The theory proposed by us on the basis of the WKB approximation which has derived quite accurately the equivalent local potentials from the RGM non-local potentials is shown to incorporate automatically the prohibition of the occupation of the Pauli-forbidden states. Like in the original RGM, Pauli-forbidden states are obtained as the redundant solutions of the Hamilton-Jacobi equation. This structure of our theory necessarily leads to the deep equivalent local potential in low scattering energy and bound state energy regions. Our arguments are based on the accurate reproduction of the solutions of the eigenvalue problems of the RGM norm kernels, which is also discussed in detail.

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