**M.V. Stoitsov
Institute of Nuclear Research and Nuclear Energy,
Bulgarian Academy of Sciences, Sofia-1784, Bulgaria
Joint Institute for Heavy Ion Research,
Oak Ridge, Tennessee 37831
Department of Physics and Astronomy,
The University of Tennessee,
Knoxville, Tennessee 37996
Physics Division, Oak Ridge National Laboratory,
P.O. Box 2008, Oak Ridge, Tennessee 37831
J. Dobaczewski
Institute of Theoretical Physics, Warsaw University,
Hoza 69, PL-00-681 Warsaw, Poland
W. Nazarewicz
Department of Physics and Astronomy,
The University of Tennessee,
Knoxville, Tennessee 37996
Physics Division, Oak Ridge National Laboratory,
P.O. Box 2008, Oak Ridge, Tennessee 37831
Institute of Theoretical Physics, Warsaw University,
Hoza 69, PL-00-681 Warsaw, Poland
S. Pittel
Bartol Research Institute, University of Delaware,
Newark, Delaware 19716
D.J. Dean
Department of Physics and Astronomy,
The University of Tennessee,
Knoxville, Tennessee 37996
Physics Division, Oak Ridge National Laboratory,
P.O. Box 2008, Oak Ridge, Tennessee 37831**

An improved prescription for choosing a transformed harmonic
oscillator (THO) basis for use in configuration-space
Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new
HFB+THO framework that follows accurately reproduces the results
of coordinate-space HFB calculations for spherical
nuclei, including those that are weakly bound.
Furthermore, it is fully automated, facilitating its use in
systematic investigations of large sets of nuclei throughout the
periodic table. As a first application, we have carried out
calculations using the Skyrme Force SLy4 and volume pairing, with
exact particle number projection following application of the
Lipkin-Nogami prescription. Calculations were performed for all
even-even nuclei from the proton drip line to the neutron drip
line having proton numbers
and neutron numbers
. We focus on nuclei near the neutron drip line
and find that there exist numerous particle-bound even-even nuclei
(i.e., nuclei with negative Fermi energies) that have at the same
time negative two-neutron separation energies. This phenomenon,
which was earlier noted for light nuclei, is attributed to bound
shape isomers beyond the drip line.

- Introduction
- Overview of Hartree-Fock-Bogoliubov theory and the Lipkin-Nogami method
- The Transformed Harmonic Oscillator basis
- Comparison of coordinate-space HFB calculations and configuration-space HFB+HO calculations
- Approximation to the coordinate-space HFB local densities
- LST function for HFB+THO calculations

- Results
- Concluding Remarks
- Acknowledgments
- Bibliography
- About this document ...