Microscopic structure of an interacting boson model in terms of the Dyson boson mapping

H. B. Geyer and S. Y. Lee
Phys. Rev. C 26, 642 – Published 1 August 1982
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Abstract

In an application of the generalized Dyson boson mapping to a shell model Hamiltonian acting in a single j shell, a clear distinction emerges between pair bosons and kinematically determined seniority bosons. As in the Otsuka-Arima-Iachello method it is found that the latter type of boson determines the structure of an interactive boson-model-like Hamiltonian for the single j-shell model. It is furthermore shown that the Dyson boson mapping formalism is equally well suited for investigating possible interactive boson-model-like structures in a multishell case, where dynamical considerations are expected to play a much more important role in determining the structure of physical bosons.

NUCLEAR STRUCTURE Boson mapping, interacting boson model, shell model.

  • Received 29 March 1982

DOI:https://doi.org/10.1103/PhysRevC.26.642

©1982 American Physical Society

Authors & Affiliations

H. B. Geyer* and S. Y. Lee

  • Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

  • *Permanent address: Physics Division, Atomic Energy Board, Private Bag X256, Pretoria 0001, South Africa.

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Issue

Vol. 26, Iss. 2 — August 1982

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