The competition between image and pair coupling in the many-fermion sd shell and interacting boson models Original Research Article

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.