Isospin mixing within the multi-reference nuclear density functional theory and beyond - selected aspects

TL;DR

This paper reviews systematic calculations of isospin-symmetry-breaking corrections in superallowed beta-decays using advanced nuclear density functional theory, highlighting uncertainties and potential model extensions.

Contribution

It introduces a self-consistent isospin- and angular-momentum-projected DFT approach and discusses its extension towards a no core shell model with basis cutoff.

Findings

Quantitative estimates of isospin-symmetry-breaking corrections

Assessment of theoretical uncertainties in the model

Discussion of formalism extensions towards shell model approaches

Abstract

The results of systematic calculations of isospin-symmetry-breaking corrections to superallowed beta-decays based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT) are reviewed with an emphasis on theoretical uncertainties of the model. Extensions of the formalism towards no core shell model approach with basis cutoff scheme dictated by the self-consistent particle-hole DFT solutions will be also discussed.