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Group Theory and the Interaction of Composite Nucleon Systems pp 128–138Cite as

Configurations of Simple Composite Nucleon Systems

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Part of the book series: Clustering Phenomena in Nuclei ((CPN,volume 2))

Abstract

Simple composite nucleon systems were characterized in section 6.2 by the assumption that the internal orbital state of each composite system be stable under internal permutations. The occupation numbers of these composite particles then form a weight w = (w1w2 ... wj) and the stability group is the group of the weight S(w). The orbital partition f is established through a Gelfand pattern q. To this assumption on the permutational structure of the orbital states we add the specification of any internal state as an unexcited oscillator state. With this choice we obtain in sections 7.2 and 7.3 closed analytic expressions for the normalization and interaction kernels. In section 7.4 we choose j = 3 and pass from the kernels of the operators to the oscillator representation. The oscillator representation will be used in section 10 to study states of the lightest nuclei.

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  1. P. Kramer
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  2. G. John
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  3. D. Schenzle
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© 1981 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Kramer, P., John, G., Schenzle, D. (1981). Configurations of Simple Composite Nucleon Systems. In: Group Theory and the Interaction of Composite Nucleon Systems. Clustering Phenomena in Nuclei, vol 2. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-85663-0_7

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  • DOI: https://doi.org/10.1007/978-3-322-85663-0_7

  • Publisher Name: Vieweg+Teubner Verlag

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