Abstract
We consider the competition between SU ( 3 ) and pair coupling in the 2 s 1 d nuclear shell model. By working within the framework of the LST-coupling shell model with good supermultiplet symmetry, the problem appears as a competition between two dynamical subgroup chains U ( 6 ) ⊃ SU ( 3 ) ⊃ SO ( 3 ) and U ( 6 ) ⊃ O ( 6 ) ⊃ S O ( 3 ) which has also been studied in the context of the interacting boson model.
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