Microscopic treatment for the degree of freedom beyond the S-D model space

A microscopic treatment of the collective degrees of freedom of nuclei beyond the S-D model space in interacting boson model is given. Following a similar line as in the case of defining the seniority particle operator, independent of the S degree of freedom in single j-shell, a modified S, D pairs and generalized OBT (operative Bogoliubov transformation) are introduced to separate both the S and D degrees of freedom from the rest in the model space of the nucleus spanned by a set of nucleon creation operators cjm†, (j = j1,j2,...)