Isospin mixing and Coulomb mixing in ground states of even-even nuclei

TL;DR

This paper investigates Coulomb and isospin mixing in the ground states of even-even nuclei using perturbation theory, highlighting the significant Coulomb mixing in heavy nuclei and the minimal isospin mixing.

Contribution

It introduces a method linking isospin mixing calculations to isovector monopole resonance properties, considering uncertainties from different Skyrme interactions.

Findings

Coulomb mixing is large in heavy nuclei

Isospin mixing is very small in ground states

Results depend on the choice of Skyrme interactions

Abstract

In this work, the Coulomb mixing and the isospin mixing in the ground states of even-even nuclei are evaluated in perturbation theory. The calculation of the isospin mixing is performed by using the connection to isovector monopole resonance properties. The uncertainty in the results that depends on different choices of the Skyrme interactions is shown. While Coulomb mixing turns out to be large in the ground states of heavy nuclei, isospin mixing is very small.