The SU(3) Dynamics in the Identical Fermion and Boson Systems

Based on the group-algebra theory, we illustrate how to build the quadrupole-quadrupole dynamics for the identical fermion and boson systems within the s, d single-particle orbits, by which the influence of identity principle on the many-body dynamical structures of nuclei is discussed. The results indicate that the dimension of low-spin states in the identical fermion system with a given number of particle is much larger than the corresponding situation in the identical boson system, which means that the former can involve a richer rotational structure than the latter under similar conditions. The present analysis provides an example for analyzing nuclear structural model using the SU(3) group-algebra theory.