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Generalized interacting boson model and the collective behaviour in nuclei
Authors:M Suguna  R D Ratna Raju  V K B Kota
Affiliation:(1) Theoretical Group, Department of Physics, Andhra University, 530 003 Waltair, India;(2) Department of Physics and Astronomy, University of Rochester, Rochester, New York, USA;(3) Present address: Physical Research Laboratory, 380 009 Ahmedabad, India
Abstract:The effect of including the high spin bosons on the manifestation of collective behaviour in nuclei is examined by plotting theB(E2; 2+→0+) rates as a function of neutron number for various values ofη, whereη is the highest angular momentum of the bosons included in the calculation.B(E2; 2+→0+) values of a large number of nuclei in various regions of the nuclear periodic table are calculated with a single value for the effective charge in the generalized scheme. Irreducible representations of SU(3) contained in the symmetric partition [N] of U(15) are worked out for integersN uptoN=15, to enable the explicit inclusion of theg boson into calculations. The experimentally observed odd-K bands in234U and184W are described as a direct consequence of theg boson.
Keywords:Generalized interacting boson model  irreducible representations  symmetric partitions   g boson
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