Hartree-Fock-Bogoliubov for deformed neutron-rich nuclei

Abstract

The two-basis method to solve the HFB for deformed nuclei in coordinate space is examined concerning the precision of the density tail. Small cutoff energies are shown to give rise to ripples in the tail, whose wave length corresponds to the cutoff momentum. More precise solutions require higher cutoff energies, which result in HFB matrices of larger dimensions. To circumvent the difficulty of the large dimension, we employ another method to solve the HFB ---the natural-orbital method introduced originally for spherical nuclei--- to apply it to deformed nuclei. The method can be successfully implemented with a three-dimensional Cartesian mesh representation.