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Prog. Theor. Phys. Vol. 41 No. 3 (1969) pp. 705-722

[ Full Text PDF : FREE ACCESS (1248K) ]

Interaction between Clusters and Pauli Principle

Sakae Saito

Department of Physics, Hokkaido University, Sapporo
and
Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received November 29, 1968)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/41/705/
DOI : 10.1143/PTP.41.705

[ Full Text PDF : FREE ACCESS (1248K) ] Citation:

References:

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  108. Progress of Theoretical Physics Supplement No.192 (2012) pp. 1-238 :
    Recent Developments in Nuclear Cluster Physics
    Hisashi Horiuchi, Kiyomi Ikeda and Kiyoshi Katō

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