Current Developments in Nuclear Density Functional Methods

Abstract

Density functional theory (DFT) became a universal approach to compute ground-state and excited configurations of many-electron systems held together by an external one-body potential in condensed-matter, atomic, and molecular physics. At present, the DFT strategy is also intensely studied and applied in the area of nuclear structure. The nuclear DFT, a natural extension of the self-consistent mean-field theory, is a tool of choice for computations of ground-state properties and low-lying excitations of medium-mass and heavy nuclei. Over the past thirty-odd years, a lot of experience was accumulated in implementing, adjusting, and using the density-functional methods in nuclei. This research direction is still extremely actively pursued. In particular, current developments concentrate on (i) attempts to improve the performance and precision delivered by the nuclear density-functional methods, (ii) derivations of density functionals from first principles rooted in the low-energy chromodynamics and effective theories, and (iii) including effects of low-energy correlations and symmetry restoration. In this study, we present an overview of recent results and achievements gained in nuclear density-functional methods.

10 LaTeX pages, 19 figures, plenary talk at the International Nuclear Physics Conference (INPC 2010), Vancouver, Canada, July 4-9, 2010, to be published in Journal of Physics: Conference Series (JPCS)

References in corpus (17)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Particle-Number Projection and the Density Functional Theory
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Microscopic description of complex nuclear decay: multimodal fission
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Microscopic calculation of 240Pu scission with a finite-range effective force
• Relativistic RPA in axial symmetry
• An improved density matrix expansion for spin-unsaturated nuclei
• Microscopic Study of the triple-$\alpha$ Reaction
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Linear response strength functions with iterative Arnoldi diagonalization
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Finite- to zero-range relativistic mean-field interactions
• Real-time Skyrme TDHF dynamics of giant resonances

Cited by in corpus (10)

• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Shape coexistence in the microscopically guided interacting boson model
• Shape coexistence in even-even nuclei: A theoretical overview
• Challenges in Nuclear Structure Theory
• An efficient method for computing the Thouless-Valatin inertia parameters
• Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• Nuclear energy density functionals grounded in ab initio calculations
• Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation
• Condensate Dynamics with Non-Local Interactions