Hartree-Fock+BCS approach to unstable nuclei with the Skyrme force

Abstract

We reanalyze the results of our extensive Hartree-Fock + BCS calculation from new points of view paying attention to the properties of unstable nuclei. The calculation has been done with the Skyrme SIII force for the ground and shape isomeric states of 1029 even-even nuclei ranging 2 <= Z <= 114. We also discuss the advantages of the employed three-dimensional Cartesian-mesh representation, especially on its remarkably high precision with apparently coarse meshes when applied to atomic nuclei. In Appendices we give the coefficients of finite-point numerical differentiation and integration formulae suitable for Cartesian mesh representation and elucidate the features of each formula and the differences from a method based on the Fourier transformation.

arXiv comment31 pages including 21 figures, Latex2e

Cited by in corpus (9)

• Cranked Skyrme-Hartree-Fock calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei from 32S to 48Cr
• Polarization of the nuclear surface in deformed nuclei
• Three-dimensional mesh calculations for covariant density functional theory
• Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
• Improved microscopic-macroscopic approach incorporating the effects of continuum states
• The Neutron Star Outer Crust Equation of State: A Machine Learning approach
• Superdeformed bands in neutron-rich Sulfur isotopes suggested by cranked Skyrme-Hartree-Fock calculations
• Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks
• Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line