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.

arXiv comment18 pages, 5 figures

References in corpus (50)

• Pseudo-spin as a Relativistic Symmetry
• A finite range pairing force for density functional theory in superfluid nuclei
• A Giant Halo at the Neutron Drip Line
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• The pseudo-spin symmetry in Zr and Sn isotopes from the proton drip line to the neutron drip line
• Neutron halo in deformed nuclei
• Spin symmetry in the anti-nucleon spectrum
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Antimagnetic Rotation Band in Nuclei: A Microscopic Description
• Novel structure for magnetic rotation bands in 60Ni
• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Identical Bands in Superdeformed Nuclei: A Relativistic Description
• Pseudospin symmetry and its approximation in real nuclei
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• Cranked Relativistic Hartree-Bogoliubov Theory: Formalism and Application to the Superdeformed Bands in the $A\sim 190$ region
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• 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
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Time-odd mean fields in covariant density functional theory: Rotating systems
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• New Discrete Basis for Nuclear Structure Studies
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Solution of relativistic Hartree-Bogoliubov equations in configurational representation: spherical neutron halo nuclei
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• Time-odd mean fields in the rotating frame: microscopic nature of nuclear magnetism
• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• One-pion exchange current corrections for nuclear magnetic moments in relativistic mean field theory
• Shape coexistence and neutron skin thickness of Pb isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Hartree-Fock-Bogoliubov descriptions of deformed weakly-bound nuclei in large coordinate spaces
• 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
• Toroidal states in ${}^{28}$Si with covariant density functional theory in 3D lattice space
• 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
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory with pairing correlations
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces

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• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Examination of the evidence for a proton halo in ${}^{22}$Al
• Shell structure and shape transition in odd-$Z$ superheavy nuclei with proton numbers $Z=117,119$: insights from deformed relativistic Hartree-Bogoliubov in continuum
• Constraining the Woods-Saxon potential in fusion reactions based on the neural network
• Simulation of the Wave Turbulence of a Liquid Surface Using the Dynamic Conformal Transformation Method
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum