Two-level interacting boson models beyond the mean field

José M. Arias, Jorge Dukelsky, José Enrique García-Ramos, and Julien Vidal

Phys. Rev. C 75, 014301 – Published 2 January 2007

Abstract

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.

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Received 31 August 2006

DOI:https://doi.org/10.1103/PhysRevC.75.014301

Authors & Affiliations

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

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Issue

Vol. 75, Iss. 1 — January 2007

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Physical Review C

covering nuclear physics