Shell-model and Hartree-Fock calculations for even-mass O, Ne, and Mg nuclei

Abstract

Shell-model and deformed Hartree-Fock plus BCS calculations are reported for even-even nuclei [sup 18[minus]30]O, [sup 18[minus]36]Ne, and [sup 20[minus]42]Mg; shell-model calculations additionally included [sup 38,40]Ne and [sup 44,46,48]Mg. Ground-state binding energies and 2[sub 1][sup +] quadrupole moments are calculated by both models. Shell-model calculations, aided by a new truncation method, include 2[sub 1][sup +] excitation energies and magnetic moments. Hartree-Fock calculations with SkI6, RATP, Z[sub [sigma]][sup [asterisk]], and SkX Skyrme forces include ground-state deformations and rms radii; SkI6 gives the best overall agreement with experiment. The two models are compared with each other and with experiment. Two-neutron separation energies, evidence for a neutron halo or skin in heavy O isotopes, and deformation of Ne and Mg isotopes are discussed. Both models indicate disappearance of the shell gap at N=28 (Mg), and the shell model does so additionally at N=20 (Ne and Mg). [copyright] [ital 1999] [ital The American Physical Society]