Rigorous proof of the Strutinsky energy theorem and foundations of nuclear density functional theory

TL;DR

This paper provides a rigorous proof of the Strutinsky energy theorem, clarifying its interpretation and establishing a foundation for nuclear density functional theory.

Contribution

It offers a formal proof of the Strutinsky energy theorem, resolving longstanding ambiguities and supporting the development of nuclear density functionals.

Findings

Rigorous theoretical proof of the Strutinsky energy theorem

Clarification of shell-correction decomposition interpretation

Foundation established for nuclear density functional construction

Abstract

We have derived a rigorous theoretical proof of the Strutinsky energy theorem. This proof not only provides a proper interpretation of the shell-correction decomposition, resolving decades of confusion, but also lays a foundation for constructing nuclear density functionals.