Abstract
The SU(3) limit of the U(6/12) boson-fermion symmetry has been studied in detail. By considering the single-particle structure of states, it has been possible to establish a one-to-one relation between bands in the symmetry scheme and those of the Nilsson model arising from the 2p/sub 1/2/, 2p/sub 3/2/, and 1f/sub 5/2/ shell model states. The specific characteristics of the symmetry are shown to be evidenced empirically in the low lying bands of /sup 185/W. Moreover, it is shown that the U(6/12) SU(3) symmetry is able to account for the empirical fact of the fragmentation of single particle strength from the higher lying 1/2(501), (3/2)(501), and (5/2)(503) Nilsson bands. The results mentioned above, and also a comparison between the B(E2) values predicted for the low lying bands in each model, confirm that the interacting boson-fermion approximation Hamiltonian employed incorporates the effects of Coriolis mixing in the Nilsson model. The question of supersymmetry is also discussed.
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