Antisymmetrization of “Cluster model” wave functions and their expansion in “shell model” wave functions

Kanellopoulos, Th. V.; Wildermuth, K.

doi:10.1016/0029-5582(60)90456-9

Cited by 23 publications

(3 citation statements)

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“…It should be noted that the three lowest SBe states in the oscillator cluster representation are described by one term respectively, but in the oscillator shell model representation, by complicated superpositions of shell model terms. For instance, the ground state of 8Be (l=O) is described by a superposition of 19 shell model terms (Kanellopoulos and Wildermuth 1959).…”

Section: Sbe States As the Jirst Illustrative Examplementioning

confidence: 99%

“…Therefore, 1 6 0 has one 3-and one 2-state which are one-particle excitation states to the next higher oscillator shell and in which simultaneously no a-cluster is broken up. For the I = 1 case, there are two coupling possibilities, but one of these couplings must describe a pure centre-ofmass excitation of the 1 6 0 nucleus in the space-fixed oscillator potential with IT= IT= 1- (Kanellopoulos and Wildermuth 1959), which is irrelevant for us. Hence, there exists also only one I"= 1-1 6 0 state in which a single particle is excited to the next oscillator shell and no a-cluster is broken up.…”

Section: (B))mentioning

confidence: 99%

“…they can change by orders of magnitude from one nuclear state to another. A detailed description of these methods and many other examples can be found in Wildermuth and Kanellopoulos (1959), Wildermuth and McClure (1966) and Wildermuth and Tang (1977).…”

Section: Coulomb Enevgy Effects In Mirrov Levelsmentioning

confidence: 99%

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Clustering aspects in nuclei and their microscopic description

Wildermuth¹,

Kanellopoulos²

1979

Rep. Prog. Phys.

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In this review it is shown how the physical understanding of clustering aspects allows the formulation of a unified microscopic theory of nuclear structure and nuclear reactions. In particular, the fundamental importance of the Pauli principle is stressed in resolving the contradictions between different collective and single-particle aspects of the atomic nuclei. After the general formulation of the method, which can be applied also to other many-particle systems, several illustrative examples are given for quantitative studies of bound-state scattering and reaction problems, for semiquantitative studies and for the derivation of general nuclear properties.

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Section: Sbe States As the Jirst Illustrative Examplementioning

confidence: 99%

Section: (B))mentioning

confidence: 99%