ABSENCE OF /TZ/ = 1 PAIRING CORRELATIONS IN INTRINSIC GROUND STATES OF 2S-1D SHELL NUCLEI

The importance of pairing in the intrinsic ground states of doubly even 2s-1d shell nuclei has been investigated. The nuclear many-body problem is solved following a restricted Hartree-Fock-Bogolyubov method which allows for p-p and n-n pairing only and for at most axially symmetric and reflection-invariant ground-state deformations. As nucleon-nucleon interaction, the semi-realistic Brink-Boeker force B1 is employed which cannot yield any single-particle spin-orbit splittings. The Coulomb force is included, and the centre-of-mass motion is corrected for in the usual way. The ground state properties obtained are compared with the results of an ordinary Hartree-Fock procedure and turn out to be identical with them. There are no pairing correlations of the considered type in the ground states of 2s-1d shell nuclei. The calculated binding energies, rms radii and quadrupole moments are reported. The resulting single-particle energies and self-consistent potentials are discussed. © 1969.