On the application of symmetry breaking and its restoration to treat pairing correlation in finite nuclei

TL;DR

This paper discusses a novel symmetry-conserving energy density functional approach for treating pairing correlations in finite nuclei, emphasizing symmetry restoration via projection methods within the EDF framework.

Contribution

It introduces the Symmetry-Conserving EDF approach, directly expressing energy in terms of density matrices with good quantum numbers, enhancing symmetry restoration techniques.

Findings

Demonstrates particle number restoration using projection methods

Provides a new framework within Energy Density Functional theory

Improves treatment of pairing correlations in finite nuclei

Abstract

An alternative approach to symmetry restoration within Energy Density Functional, the Symmetry-Conserving EDF is discussed. In this approach, the energy is directly written in terms of the degrees of freedom encoded in the one-, two-... body density matrices of the state having good quantum numbers. The SC-EDF framework is illustrated within Projection After and Before variation applied to particle number restoration.