Self-consistent structure of bosons in nuclei

After the advent of the successful phenomenological interecting boson model, many attempts have been made to establish microscopic foundation of this model. Much of these efforts proceeds by way of some form of mapping, i.e. constructing basic states built from fermion pairs coupled to L=0 and L=2 which are later mapped into boson. The authors made a quite different approach toward these problems. One of the essential steps in our approach is to construct certain sophisticated fermion pair structures that behave like s and d bosons in our model space. A variation principle is devised to obtain the structure functions phi; and psi/sub jj/, for the s and d pairs. Since it is the many-body wave function that is varied, it is hard to relate it to the single boson structure. In this work the authors devised a new variational method which emphasize the single boson structure, namely, the structure of a single self-consistent boson in a many boson state