Isospin effects in N~Z nuclei in extended Density Functional Theory

TL;DR

This paper reviews the application of extended Density Functional Theory to study isospin symmetry phenomena in N~Z nuclei, highlighting recent theoretical advances and their implications for nuclear physics.

Contribution

It introduces and discusses the use of isospin- and angular-momentum projected Density Functional Theory extensions for analyzing isospin effects in N~Z nuclei.

Findings

Analysis of isospin impurities and superallowed beta decays

Insights into isospin breaking hadronic interactions

Evaluation of mirror and triplet binding energy differences

Abstract

This paper overviews various phenomena related to the concept of isospin symmetry. The focus is on N~Z nuclei, which are excellent laboratories of isospin physics. The theoretical framework applied is nuclear Density Functional Theory and its isospin- and angular-momentum projected extensions, as well as symmetry-projected multi-reference models. The topics covered include: isospin impurities, superallowed beta decays, beta-transitions in mirror nuclei, isospin breaking hadronic interactions, mirror and triplet binding energy differences, and isoscalar pairing.