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Phys. Rev. C 75, 014301 (2007) [10 pages]

Two-level interacting boson models beyond the mean field

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José M. Arias1, Jorge Dukelsky2, José Enrique García-Ramos3, and Julien Vidal4
1Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, E-41080 Sevilla, Spain
2Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain
3Departamento de Física Aplicada, Universidad de Huelva, E-21071 Huelva, Spain
4Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, F-75252 Paris Cedex 05, France

Received 31 August 2006; published 2 January 2007

The phase diagram of two-level boson Hamiltonians, including the interacting boson model (IBM), is studied beyond the standard mean field approximation using the Holstein-Primakoff mapping. The limitations of the usual intrinsic state (mean field) formalism concerning finite-size effects are pointed out. The analytic results are compared to numerics obtained from exact diagonalizations. Excitation energies and occupation numbers are studied in different model space regions (Casten triangle for IBM) and especially at the critical points.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.75.014301
DOI:
10.1103/PhysRevC.75.014301
PACS:
21.60.Fw, 73.43.Nq