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Phys. Rev. C 79, 054304 (2009) [16 pages]

Bohr model as an algebraic collective model

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D. J. Rowe and T. A. Welsh
Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada

M. A. Caprio
Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556-5670, USA

Received 23 January 2009; published 5 May 2009

See accompanying Physics Synopsis

Developments and applications are presented of an algebraic version of Bohr's collective model. Illustrative examples show that fully converged calculations can be performed quickly and easily for a large range of Hamiltonians. As a result, the Bohr model becomes an effective tool in the analysis of experimental data. The examples are chosen both to confirm the reliability of the algebraic collective model and to show the diversity of results that can be obtained by its use. The focus of the paper is to facilitate identification of the limitations of the Bohr model with a view to developing more realistic, computationally tractable models.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.79.054304
DOI:
10.1103/PhysRevC.79.054304
PACS:
21.60.Ev, 21.60.Fw, 03.65.Fd