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 identic-al 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 fer-mion 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 ana-lysis provides an example for analyzing nuclear structural model using the SU(3)group-algebra theory.
SU(3)groupquadrupole-quadrupole interactionshell modelthe interacting boson model