English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The radial overlap correction, $\delta_{RO}$ is re-examined for 30superallowed $\beta$ decays using the shell model with Hartree-Fock (HF) radialwave functions. Our calculation is based on the Skyrme interaction includingCoulomb, Charge-Symmetry-Breaking (CSB) and Charge-Independence-Breaking (CIB)terms. The corrections due to the gradient of charge density, vacuumpolarization, Coulomb spin-orbit and finite size of nucleons are alsoconsidered. To avoid the spurious isospin mixing, the local equivalentpotential is constructed from the solution of a HF calculation for the $Z=N$nucleus without charge-dependent forces. The obtained mean field is solvednon-iteratively for the parent and daughter nuclei. It turns out that the CIBterm has no significant impact on $\delta_{RO}$. On the other hand, the CSBterm makes $\delta_{RO}$ increasing between 10 and 30%. The gradient densityleads to a further increase of $\delta_{RO}$ between 2 and 14%, while otherelectromagnetic corrections are negligible. The effect of the suppression ofisospin spuriosity is somewhat complicated. In general, it produces a larger$\delta_{RO}$ value, however there are few cases for which $\delta_{RO}$ ismostly unaffected or even reduced, especially the light even-even emitters. Allthese improvements partly explain the long-standing discrepancy between thecorrection values obtained with Woods-Saxon (WS) and HF radial wave functions.Nevertheless, the remaining discrepancy is still significant, except for theemitters with $A\le 26$. In addition, the staggering presented on the resultsobtained with the WS potential are not well reproduced by our calculations.This subsequently leads to a large difference in the predicted mirror $ft$ratios. These problems might relate to the errors of the calculated radii aswell as correlation in the data used for constraining the asymptotic radialwave functions.

Radial overlap correction to superallowed $0^+ \to 0^+$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions