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# 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}

^{1}Institute of Nuclear Research and Nuclear Energy

Bulgarian
Academy of Sciences, Sofia-1784, Bulgaria

^{2}Physik Department,
Technische Universität, München

D-85748 Garching, Germany

^{3}Institute of Theoretical Physics, Warsaw University

Hoza 69,
PL-00-681 Warsaw, Poland

^{4}Bartol 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.

*Jacek Dobaczewski*

*1999-09-13*