Mode coupling and Dyson's finite boson expansion in nuclei

P. Ring and P. Schuck
Phys. Rev. C 16, 801 – Published 1 August 1977
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Abstract

In recent papers we developed and applied a mode (weak) coupling method for nuclei which show weak anharmonicity. In this work we demonstrate that this approach is rigorously equivalent to Dyson's finite boson expansion which has been generalized for nuclei by Janssen et al. We discuss here in detail the advantages and drawbacks of Dyson's method as for instance the appearance and localization of spurious states due to a violation of the Pauli principle. We also give a very simple prescription for calculating matrix elements in Dyson's method.

NUCLEAR STRUCTURE Theory boson expansion method.

  • Received 14 March 1977

DOI:https://doi.org/10.1103/PhysRevC.16.801

©1977 American Physical Society

Authors & Affiliations

P. Ring

  • Physik Department der Technischen Universität München, Institut für theoretische Physik, 8046 Garching, Germany

P. Schuck

  • Institut Laue-Langevin, B P 156 Centre de tri, 38042 Grenoble Cedex, France

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Vol. 16, Iss. 2 — August 1977

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