Open problems in nuclear density functional theory

TL;DR

This paper discusses five open problems in nuclear density functional theory, highlighting theoretical challenges and potential directions for future research in the field.

Contribution

It identifies and elaborates on five key unresolved issues in nuclear DFT, providing a roadmap for addressing foundational questions.

Findings

Identification of the need for concave functionals

Discussion on the nature of the Kohn-Sham potential

Exploration of models with explicitly constructible density functionals

Abstract

This note describes five subjects of some interest for the density functional theory in nuclear physics. These are, respectively, i) the need for concave functionals, ii) the nature of the Kohn-Sham potential for the radial density theory, iii) a proper implementation of a density functional for an "intrinsic" rotational density, iv) the possible existence of a potential driving the square root of the density, and v) the existence of many models where a density functional can be explicitly constructed.