Structure of the Self-Consistent Solutions for Even-Even Nuclei in the2p−1fShell

Abstract

Results of Hartree-Fock calculations on even-even nuclei in the $2p-1f$ shell are presented. The method of Kelson and Levinson is used, whereby ${\mathrm{Ca}}^{40}$ is taken as an inert core and the Hartree-Fock variation is done only on the particles outside ${\mathrm{Ca}}^{40}$ moving in the $2p-1f$ shell. Binding energies, $2^{\lambda }$-pole moments, and single-particle structure of a number of nuclei are calculated. The total pickup strengths for neutrons and protons are calculated. It is found that, as in the $2s-1d$ shell, the $S{U}_3$ scheme is quite good and only weakly broken by the spin-orbit force. However, the gap between occupied and unoccupied levels is smaller by a factor of 3 than in the $s-d$ shell. Therefore, particle-hole excitations and correlation effects have a much stronger influence on the low-energy structure of the $p-f$-shell nuclei.