Spatial symmetries of the local densities

TL;DR

This paper explores the spatial symmetries of local densities in nuclear Density Functional Theory, deriving their general forms using isotropic tensor field methods for spherical and axial cases.

Contribution

It introduces a systematic derivation of local density forms based on symmetry considerations in nuclear DFT, covering spherical and axial symmetries.

Findings

Derived general forms of local densities using isotropic tensor fields.

Analyzed symmetry properties in spherical and axial cases.

Provided a framework for symmetry-based density analysis in nuclear physics.

Abstract

Spatial symmetries of the densities appearing in the nuclear Density Functional Theory are discussed. General forms of the local densities are derived by using methods of construction of isotropic tensor fields. The spherical and axial cases are considered.