Coulomb corrections to Fermi beta decay in nuclei

TL;DR

This paper investigates how Coulomb forces affect Fermi beta decay in nuclei, using advanced theoretical models to compute corrections and analyze isospin mixing effects.

Contribution

It introduces a self-consistent approach using charge-exchange RPA to calculate Coulomb corrections and examines anti-analog states' influence on isospin mixing.

Findings

Coulomb corrections to super-allowed beta decay are quantified.

Anti-analog states significantly influence isospin mixing.

Theoretical framework improves accuracy of beta decay models.

Abstract

We study the influence of the Coulomb force on the Fermi beta-decays in nuclei. This work is composed of two main parts. In the first part, we calculate the Coulomb corrections to super-allowed beta decay. We use the notion of the isovector monopole state and the self-consistent charge-exchange Random Phase Approximation to compute the correction. In the second part of this work, we examine the influence of the anti-analog state on isospin mixing in the isobaric analog state and the correction to the beta-decay Fermi transition.