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The European Physical Journal A

, Volume 41, Issue 2, pp 189–195 | Cite as

Large boson number IBM calculations and their relationship to the Bohr model

  • G. ThiamovaEmail author
  • D. J. Rowe
Regular Article - Theoretical Physics

Abstract

Recently, the SO(5) Clebsch-Gordan (CG) coefficients up to the seniority v max = 40 were computed in floating point arithmetic (T.A. Welsh, unpublished (2008)); and, in exact arithmetic, as square roots of rational numbers (M.A. Caprio et al., to be published in Comput. Phys. Commun.). It is shown in this paper that extending the QQQ model calculations set up in the work by D.J. Rowe and G. Thiamova (Nucl. Phys. A 760, 59 (2005)) to N = v max = 40 is sufficient to obtain the IBM results converged to its Bohr contraction limit. This will be done by comparing some important matrix elements in both models, by looking at the seniority decomposition of low-lying states and at the behavior of the energy and B(E2) transition strengths ratios with increasing seniority.

PACS

21.60.Ev Collective models 21.60.Fw Models based on group theory 

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Gesellschaft fur Schwerionenforschung mbHDarmstadtGermany
  2. 2.Nuclear Physics InstituteCzech Academy of SciencesPrague-RezCzech Republic
  3. 3.Department of PhysicsUniversity of TorontoTorontoCanada

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