Ground state properties of medium-heavy nuclei with a realistic interaction

The Brueckner G matrix appropriate for medium-heavy nuclei is obtained from the Reid soft-core nucleon-nucleon potential. The G matrix is strongly affected by the Pauli operator Q, which is treated exactly (no angle averaging). Within the range of valence space energies G has a weak dependence on the starting energy ω. Ground state properties of deformed rare earth nuclei (Z=64--76, N=90--102) and spherical semimagic nuclei (Sn, Pb, N=82, N=126) have been calculated in the Hartree-Fock-Bogoliubov approximation with an inert core of 110 nucleons. Deformations and pair gaps are both determined by the G matrix. The systematic experimental dependence of epsilon/sub spherical/, β2, β4, Δ/sub p/, Δ/sub n/, and E/sub po/ (prolate-oblate energy difference) on N and Z is reproduced. However, the magnitudes of β2, Δ/sub n/, and E/sub po/ are too small. This may be largely due to the lack of isospin dependence of the oscillator basis states. β2 and E/sub po/ could receive additional significant contributions from core polarization of the 110 particle core which is neglected here. The Hartree-Fock-Bogoliubov ground states obtained with this realistic interaction provide a reasonable foundation for high spin calculations