On the Inner Repulsive Effect Due to the Pauli Principle between Nuclear Composite Particles

Abstract

The effect of the Pauli exclusion principle in the short range part of interactions between nuclear composite particles is investigated in the case that there are some relative states which are not exactly forbidden but almost forbidden. These "almost forbidden states" (AFS) are coupled only weakly to the incoming relative states. Thus, the relative wave function is required to be approximately orthogonal to these AFS which are located in the inner region between composite particles. This gives rise to a strong repulsive effect characterized by the almost energy-independent inner nodal behavior as observed in the case of α-α scattering. However, at the energies characteristic of the AFS, the coupling to the AFS from the incident wave becomes very effective, and resonance-like contributions are brought about within the one-channel approximation. With respect to this feature, the Levinson theorem is discussed.