Quadrupole deformations of neutron-drip-line nuclei studied within the Skyrme Hartree-Fock-Bogoliubov approach

M.V. Stoitsov,^1,2 J. Dobaczewski,³ P. Ring,² and S. Pittel^4
1Institute of Nuclear Research and Nuclear Energy
Bulgarian Academy of Sciences, Sofia-1784, Bulgaria
²Physik Department, Technische Universität, München
D-85748 Garching, Germany
³Institute of Theoretical Physics, Warsaw University
Hoza 69, PL-00-681 Warsaw, Poland
⁴Bartol Research Institute, University of Delaware
Newark, Delaware 19716

Abstract:

We introduce a local-scaling point transformation to allow for modifying the asymptotic properties of the deformed three-dimensional Cartesian harmonic oscillator wave functions. The resulting single-particle bases are very well suited for solving the Hartree-Fock-Bogoliubov equations for deformed drip-line nuclei. We then present results of self-consistent calculations performed for the Mg isotopes and for light nuclei located near the two-neutron drip line. The results suggest that for all even-even elements with Z=10-18 the most weakly-bound nucleus has an oblate ground-state shape.