Current Developments in Nuclear Density Functional Methods

TL;DR

This paper reviews recent advances in nuclear density functional theory, focusing on improving accuracy, deriving functionals from fundamental physics, and incorporating correlations and symmetry effects.

Contribution

It provides a comprehensive overview of recent developments and progress in nuclear density-functional methods, highlighting new approaches and challenges.

Findings

Enhanced accuracy in nuclear DFT calculations

Derivation of functionals from low-energy QCD principles

Inclusion of correlations and symmetry restoration effects

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.