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Symmetries and deformations in the spherical shell model
We discuss symmetries of the spherical shell model that make contact with the geometric collective model of Bohr and Mottelson. The most celebrated symmetry of this kind is SU(3), which is the basis of Elliott's model of rotation. It corresponds to a deformed mean field induced by a quadrupole interaction in a single major oscillator shell N and can be generalized to include several major shells. As such, Elliott's SU(3) model establishes the link between the spherical shell model and thedoi:10.1088/0031-8949/91/2/023009 fatcat:gnfhnsjgtfezzobjlfyc5neitm