Deformation energies of rare-earth nuclei in generator coordinate method

The deformations of rare-earth nuclei for the mean field Nilsson hamiltonian with the local approximation of the two-body interaction are estimated. The collective hamiltonian is obtained within the generator coordinate method and the gaussian overlap approximation. The zero-point correction to the collective potential energy is included. The deformation energies of nuclei are up to 1 MeV larger than those for the mean field potential. The multipole moments are in usual agreement to the experimental data.