https://doi.org/10.1140/epja/i2009-10810-x
Regular Article - Theoretical Physics
Large boson number IBM calculations and their relationship to the Bohr model
1
Gesellschaft fur Schwerionenforschung mbH, Postfach 110 552, D-64220, Darmstadt, Germany
2
Nuclear Physics Institute, Czech Academy of Sciences, Prague-Rez, Czech Republic
3
Department of Physics, University of Toronto, 60 St. George Street, M5S 1A7, Ontario, Toronto, Canada
* e-mail: g.thiamova@gsi.de
Received:
17
February
2009
Revised:
3
May
2009
Accepted:
26
May
2009
Published online:
11
July
2009
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Clebsch-Gordan (CG) coefficients up to the seniority v max = 40 were computed in floating point arithmetic (T.A. Welsh, unpublished (2008)); and, in exact arithmetic, as square roots of rational numbers (M.A. Caprio et al., to be published in Comput.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 –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
