The competition between SU(3) and pair coupling in the many-fermion sd shell and interacting boson models

We consider the competition between SU(3) and pair coupling in the 2s1d 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)⊃SO(3) which has also been studied in the context of the interacting boson model.