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Group Theory and the Interaction of Composite Nucleon Systems

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Symmetries in Science
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Abstract

In the theory of nuclear structure and reactions, one often splits the full system into composite systems and studies the dynamics of these composite systems. In this report, I shall describe some methods of group theory which we have developed for dealing with these systems. We shall describe three types of groups and their application to composite particle theory. The symmetric group will be associated with exchange, orbital partitions and the supermultiplet scheme. The general linear group and its representations will be applied to exchange decompositions. The inhomogeneous symplectic transformations of classical phase space and their representations will be used to describe the kinematics and dynamics of composite particles.

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© 1980 Plenum Press, New York

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Kramer, P. (1980). Group Theory and the Interaction of Composite Nucleon Systems. In: Gruber, B., Millman, R.S. (eds) Symmetries in Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3833-8_12

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  • DOI: https://doi.org/10.1007/978-1-4684-3833-8_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3835-2

  • Online ISBN: 978-1-4684-3833-8

  • eBook Packages: Springer Book Archive

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