Abstract
It is shown that the U( 6 4 ) ⊃ Spin(6) dynamical symmetry of the interacting boson-fermion model (IBFM) can be reproduced using a semimicroscopic formulation of the hamiltonian, if the effect of the j = 1 2 orbit is taken into account in addition to the j = 3 2 orbit. The presence of the j = 1 2 orbit in the structure of the d-boson gives rise to a direct contribution to the effective j = 3 2 coupling interaction while the coupling to the j = 1 2 fermion gives an indirect contribution in second-order perturbation theory.
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