Abstract
We solve the Hartree-Fock-Bogoliubov (HFB) equations for deformed, axially symmetric even-even nuclei in coordinate space on a two-dimensional (2-D) lattice utilizing the basis-spline expansion method. Results are presented for the neutron-rich zirconium isotopes up to the two-neutron drip line. In particular, we calculate binding energies, two-neutron separation energies, normal and pairing densities, mean square radii, quadrupole moments, and pairing gaps. Very large prolate quadrupole deformations $({\ensuremath{\beta}}_{2}=0.42,0.43,0.470)$ are found for the $^{102,104,112}\mathrm{Zr}$ isotopes, in agreement with recent experimental data. We compare 2-D basis-spline lattice results with the results from a 2-D HFB code that uses a transformed harmonic oscillator basis.
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