Optimized Dirac Woods-Saxon basis for covariant density functional theory

Abstract

The Woods-Saxon basis has achieved great success in both nonrelativistic and covariant density functional theories in recent years. Due to its nonanalytical nature, however, applications of the Woods-Saxon basis are numerically complicated and computationally time consuming. In this paper, based on the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), we check in detail the convergence with respect to the basis space in the Dirac sea. An optimized Dirac Woods-Saxon basis is proposed, whose corresponding potential is close to the nuclear mean field. It is shown that the basis space of the optimized Dirac Woods-Saxon basis required for convergence is substantially reduced compared with the original one. In particular, it does not need to contain the bases from continuum in the Dirac sea. The application of the optimized Woods-Saxon basis would greatly reduce computing resource for large-scale density functional calculations.

18 pages, 5 figures

References in corpus (18)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Novel structure for magnetic rotation bands in 60Ni
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Nuclear halo structure and pseudo-spin symmetry
• Covariant density functional theory for antimagnetic rotation
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Shape coexistence and neutron skin thickness of Pb isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• One-pion exchange current corrections for nuclear magnetic moments in relativistic mean field theory
• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces