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 $omega$. 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/, $beta$$sub 2$, $beta$$sub 4$, $delta$/sub p/, $delta$/sub n/, and E/sub po/ (prolate-oblate energy difference) on N and Z is reproduced. However, the magnitudes of $beta$$sub 2$, $delta$/sub n/, and E/sub po/ are too small. This may be largely due to the lack of isospin dependence of the oscillator basis states. $beta$$sub 2$ 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. (AIP)
- Research Organization:
- Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-031942
- OSTI ID:
- 4010243
- Journal Information:
- Phys. Rev., C, v. 13, no. 4, pp. 1674-1697, Other Information: Orig. Receipt Date: 30-JUN-76
- Country of Publication:
- United States
- Language:
- English
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