The momentum distributions, natural orbits, spectroscopic factors and quasi-hole wave functions of the 12 C , 16 O , 40 Ca , 48 Ca , and 208 Pb doubly closed shell nuclei, have been calculated in the framework of the Correlated Basis Function theory, by using the Fermi hypernetted chain resummation techniques. The calculations have been done by using the realistic Argonne v ′ 8 nucleon-nucleon potential, together with the Urbana IX three-body interaction. Operator dependent correlations, which consider channels up to the tensor ones, have been used. We found noticeable effects produced by the correlations. For high momentum values, the momentum distributions show large enhancements with respect to the independent particle model results. Natural orbits occupation numbers are depleted by about the 10% with respect to the independent particle model values. The effects of the correlations on the spectroscopic factors are larger on the more deeply bound states.

The correlated basis function theory is applied to the study of medium-heavy doubly closed shell nuclei with different wave functions for protons and neutrons and in the jj coupling scheme. State dependent correlations including tensor correlations are used. Realistic two-body interactions of Argonne and Urbana type, together with three-body interactions have been used to calculate ground state energies and density distributions of the 12 C , 16 O , 40 Ca , 48 Ca and 208 Pb nuclei.