Scalar Nature of the Nuclear Density Functional

TL;DR

This paper discusses how the rotational invariance of the nuclear Hamiltonian leads to a nuclear density functional depending solely on two scalar densities, simplifying calculations to a radial, one-dimensional form.

Contribution

It highlights the scalar nature of the nuclear density functional resulting from rotational invariance, emphasizing the reduction to radial calculations.

Findings

Density functional depends only on two scalar densities

Calculations reduce to one-dimensional radial problems

Simplifies nuclear structure computations

Abstract

Because of the rotational invariance of the nuclear Hamiltonian, there exists a density functional for nuclei that depends only on two scalar densities. Practical calculations boil down to radial, one-dimensional ones.