Sp6crSscrU2symmetry of the fermion dynamical symmetry model

Abstract
The SP6×scrSscrU2 symmetry of the fermion dynamical symmetry model (FDSM) was studied. Analytic expressions are given for the wave functions and matrix elements of the pair creation operators S°, D°, and E2 transition operator for the heritage u=0, 1, 2 cases. Various Pauli effects which differentiate the FDSM SU3 from IBM SU3, as well as the relationship between the wave functions and matrix elements in the FDSM, the interacting boson model, the Sp (6,R) models, and the Elliott model are discussed. Extensive discussions of the physical implications of the model are presented.