Abstract
The analytical wave functions for the SO/sub 7/, SU/sub 3/, and SU/sub 2/ x SO/sub 3/ limits of the fermion dynamic symmetry model are constructed. These wave functions along with the already known wave functions for the SU/sub 2/ x SO/sub 5/ and SO/sub 6/ limits of fermion dynamic symmetry model are cast into such a form that their relation with the wave functions of the interacting boson model are vivid and transparent. According to the correspondence relation, the intrinsic wave functions for the interacting boson model SU/sub 3/ limit are constructed from its fermion counterpart and analytic expressions are given for the SU/sub 6/containsSU/sub 3/ isoscalar factors. The correlation between the D pair abundance in the ground states and the interaction strength is discussed.
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