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Neutron and proton densities of doubly-closed shell nuclei 40Ca, 48Ca and208Pb are studied based on a Hartree-Fock model with SAMi, SAMi-J27 and SAMi-Tenergy density functionals (EDFs). The ground state correlations (GSC) inducedby isoscalar and isovector phonons are also evaluated by the second orderperturbation theory with a self-consistent random phase approximation (RPA). Wefound that the interior part of the ground state densities is reduced by theGSC in consistent with the experimental data. On the other hand, the GSCenhances the neutron skin thickness of 48Ca and 208Pb. The effect of GSC on thetotal binding energy is also evaluated by the quasi-boson approximation. Theeffect of the tensor interaction is found small on both the densitydistributions and the binding energies.

Ground state correlations on ground state densities and total binding energies of 40Ca, 48Ca and 208Pb