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Coherent quadrupole states of three interacting bands and the solution of a Bohr-Mottelson Hamiltonian

  • Nuclei
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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The projected functions of the coherent state model (CSM) describing the ground, gamma and beta bands are studied in the intrinsic frame of reference. Several symmetry relations for the intrinsic functions are obtained. Analytical expressions for the matrix elements of the collective operatorβ m+ncosm γsinn γ are derived. Important selection rules are established for them.

The probability distribution for the deformationsβ andγ are studied and compared to those corresponding to the solution of a microscopically determined Bohr-Mottelson Hamiltonian.

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Author notes

  1. A. A. Raduta

    Present address: Institute of Physics and Nuclear Engineering, POB MG-6, Bucharest

  2. Th. Köppel

    Present address: Chalk River National Lab., Chalk River, Canada

  3. C. Lima

    Present address: UFRJ-Instituto de Fisica, 21944, Rio de Janeiro, Brasil

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Tübingen, Federal Republic of Germany

    A. A. Raduta, Amand Faessler, Th. Köppel & C. Lima

Authors
  1. A. A. Raduta
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  2. Amand Faessler
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  3. Th. Köppel
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  4. C. Lima
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Additional information

Supported by the Bundesministerium for Forschung und Technologie, by the International Bureau of the KfK Karlsruhe and by DOE contract W-7405-eng-26 with the Union Carbide Corporation

Part of the work done during a stay at Oak Ridge National Lab.

Supported by DAAD and CNF/Brasil

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Raduta, A.A., Faessler, A., Köppel, T. et al. Coherent quadrupole states of three interacting bands and the solution of a Bohr-Mottelson Hamiltonian. Z Physik A 312, 233–245 (1983). https://doi.org/10.1007/BF01412166

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  • DOI: https://doi.org/10.1007/BF01412166

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