Systematic study of deformed nuclei at the drip lines and beyond
Abstract
An improved prescription for choosing a transformed harmonicoscillator (THO) basis for use in configurationspace HartreeFockBogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the results of coordinatespace 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 particlenumber projection following application of the LipkinNogami prescription. Calculations were performed for all eveneven nuclei from the proton drip line to the neutron drip line having proton numbers Z=2,4,…,108 and neutron numbers N=2,4,…,188 . We focus on nuclei near the neutron drip line and find that there exist numerous particlebound eveneven nuclei (i.e., nuclei with negative Fermi energies) that have at the same time negative twoneutron separation energies. This phenomenon, which was earlier noted for light nuclei, is attributed to bound shape isomers beyond the drip line.
 Publication:

Physical Review C
 Pub Date:
 November 2003
 DOI:
 10.1103/PhysRevC.68.054312
 arXiv:
 arXiv:nuclth/0307049
 Bibcode:
 2003PhRvC..68e4312S
 Keywords:

 21.60.Jz;
 21.10.Dr;
 21.10.Ky;
 HartreeFock and randomphase approximations;
 Binding energies and masses;
 Electromagnetic moments;
 Nuclear Theory
 EPrint:
 12 ReVTeX4 pages, 6 EPS figures. See also http://www.fuw.edu.pl/~dobaczew/thodri/thodri.html