Interaction between Clusters and Pauli Principle

The Pauli principle characterizes the relative state between clusters in the overlapping region of them. A theory to clarify the role of the Pauli principle in the interaction between clusters in a simple way is proposed. The equation of motion for the relative state, obtained as a consequence of the total antisymmetrization, excludes naturally the states forbidden by the Pauli principle. The relative state is mainly determined by the orthogonality condition to the forbidden states for the inside and by a local potential for the outside. It is shown that both the characteristic inner oscillation and the almost energy-independent nodes of the relative wave function, which appear in the α-α scattering and are interpreted as the origin of the effective repulsive core, are produced by this orthogonality condition. The features of the α-α scattering are clarified on the basis of the theory proposed.

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