The Hartree-Fock calculations with a phenomenological internucleon residual interaction are carried out for the $2s-1d$-shell nuclei up to ${}_{}{}^{25}{}_{}{}^{}\mathrm{Al}$. The low-lying excited states of these nuclei are obtained by projecting out good angular-momentum states from the deformed Hartree-Fock states. The energy spectra thus obtained are in good agreement with the experimental results. From the study of the odd-odd nuclei, it is found that the employed residual interaction correctly reproduces the ground-state spins of these nuclei. The binding energies calculated from the projected ground-state energies and a naive model are in very good agreement with the experimental binding energies.

• Received 6 December 1966

DOI:https://doi.org/10.1103/PhysRev.156.1087