Elsevier

Nuclear Physics A

Volume 144, Issue 2, 6 April 1970, Pages 289-304
Nuclear Physics A

Hartree-Fock-Bogolyubov calculations with a realistic nucleon-nucleon interaction

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Abstract

The Hartree-Fock (HF) and Hartree-Fock-Bogolyubov (HFB) calculations for doubly even nuclei in p-, sd- and pf-shells are carried out in the model space of the first four major shells. The effective nucleon-nucleon (NN) interaction derived by Elliott et al. directly from the observed NN scattering phase-shifts is employed in the calculations. It is found that the nuclei in p-shell do not show pairing effects since the HF gap near the Fermi surface is quite large. However, at the end of p-shell, 14C which is almost spherical and has a small HF gap for neutrons, shows large pairing effects. The pairing effects in sd-shell are clearly seen in the nuclei with either N = 12 or Z = 12 or both. The HF gaps in almost all pf-shell nuclei are quite small and consequently these nuclei exhibit large pairing effects. The computed binding energies and the inertial parameters (ħ/2I) are considerably smaller than the corresponding experimental values. The computed rms radii are also somewhat smaller than the experimental values. A good agreement in the binding energies and rms radii can be obtained if the 3S1 matrix elements of the employed NN interaction are reasonably modified.

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