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arXiv:nucl-th/0602062 · Physical Review C

Scalar two-level boson model to study the interacting boson model phase diagram in the Casten triangle

Julien Vidal, J. M. Arias, J. Dukelsky, J. E. García-Ramos

Published May 5, 2006• 41 citations
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Abstract

We introduce a simple two-level boson model with the same energy surface as the Q-consistent interacting boson model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size corrections to the energy gap and the order parameter in the critical region.
DOI
10.1103/physrevc.73.054305

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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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