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

0329452 - ÚJF 2010 RIV DE eng J - Journal Article
Thiamová, Gabriela - Rowe, D. J.
Large boson number IBM calculations and their relationship to the Bohr model.
[Výpočty IBM s velkým bosonovým číslem a jejich vztah k Bohrovu modelu.]
European Physical Journal A. Roč. 41, č. 2 (2009), s. 189-195. ISSN 1434-6001. E-ISSN 1434-601X
Institutional research plan: CEZ:AV0Z10480505
Keywords : COLLECTIVE NUCLEAR-STATES * O(6) DESCRIPTION * LIMIT
Subject RIV: BE - Theoretical Physics
Impact factor: 1.968, year: 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(CG) coefficients up to the seniority v(max) = 40 were computed in floating point arithmetic (T. A. Welsh, unpublished (2008)); and, in exact arithmetic, as square roots of rational numbers (M. A. Caprio et al., to be published in Comput.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.

Je ukázáno, že rozšíření výpočtu QQQ modelu k senioritě 40 stačí k získání IBM výsledků konvergujících k Bohrově kontrakční limitě.
Permanent Link: http://hdl.handle.net/11104/0175485