HFB lattice calculation: zirconium isotope chain up to 2n-dripline
Abstract
We solve the Hartree-Fock-Bogoliubov (HFB) equations for deformed, axially symmetric even-even nuclei in coordinate space on a 2-D lattice [ref. 1]. Our computational method (Basis-Spline expansion) is particularly well suited to study ground state properties of nuclei near the drip lines, taking into account high-energy continuum states up to an equivalent single-particle energy of 60 MeV. Utilizing the Skyrme (SLy4) effective N-N interaction and a pure delta pairing force, we investigate the zirconium isotope chain up to the 2n-dripline. Results are presented for 2n-separation energies, deformations, densities, Fermi levels, pairing gaps, and the s.p energy spectrum of the pairing density. Very large prolate quadrupole deformations (β_2=0.43,0.45) are found for ^102,104Zr, in agreement with recent experimental data. In ^114,116Zr, our HFB calculations predict oblate g.s. shapes. Ref 1: Oberacker et al., Phys. Rev. C 68, 064302 (2003)
- Publication:
-
APS Division of Nuclear Physics Meeting Abstracts
- Pub Date:
- October 2004
- Bibcode:
- 2004APS..DNP.DF002O