Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay

TL;DR

This paper extends microscopic calculations of isospin-symmetry-breaking corrections in superallowed beta-decay to a broader range of nuclei, improving the precision of fundamental parameters in particle physics.

Contribution

It applies angular momentum and isospin projected density functional theory to calculate ISB corrections across multiple nuclei, enhancing previous work's scope and accuracy.

Findings

Calculated ISB corrections for all relevant superallowed transitions from A=10 to 74.

Found agreement of |V_{ud}| with recent experimental and neutron decay results.

Extended the theoretical framework to cover more nuclei with improved precision.

Abstract

Recently, we have applied for the first time the angular momentum and isospin projected nuclear density functional theory to calculate the isospin-symmetry breaking (ISB) corrections to the superallowed beta-decay. With the calculated set of the ISB corrections we found |V_{ud}|=0.97447(23) for the leading element of the Cabibbo-Kobayashi-Maskawa matrix. This is in nice agreement with both the recent result of Towner and Hardy [Phys. Rev. {\bf C77}, 025501 (2008)] and the central value deduced from the neutron decay. In this work we extend our calculations of the ISB corrections covering all superallowed transitions A,I^\pi=0^+,T=1,T_z \rightarrow A,I^\pi=0^+,T=1,T_z+1 with T_z =-1,0 and A ranging from 10 to 74.