The interacting boson approximation in nuclei with a few valence nucleons

In order to investigate microscopically nuclear collective models, the generator coordinate method as a means for deriving the effective hamiltonian for nuclear collective states is discussed. A simple case is treated as an illustration. Perfect agreement of the result with the exact solution testifies to the adequacy of the method. This method is applied to nuclei with a few valence nucleons and gives us the results of the interacting model in the SU(5) limit. The possibility of application to nuclei with many valence nucleons is also briefly discussed.