Ft values of the T = 1/2 mirror beta transitions

TL;DR

This paper provides a comprehensive survey and new calculations of ft and corrected Ft values for T=1/2 mirror beta transitions, enabling precise weak interaction studies.

Contribution

It presents the first complete set of theoretical corrections for mirror transitions and updated ft values based on recent mass evaluations.

Findings

Precisions of corrected Ft values are mostly between 0.1% and 0.4%.

All relevant measurements were included and some were rejected for cause.

The results facilitate extraction of weak interaction parameters from mirror beta decay data.

Abstract

A complete survey is presented of all half-life and branching-ratio measurements related to the isospin T = 1/2 mirror beta transitions ranging from 3He to 83Mo. No measurements are ignored, although some are rejected for cause. Using the decay energies obtained in the 2003 Mass Evaluation experimental ft values are then determined for the transitions up to 45V. For the first time also all associated theoretical corrections needed to convert these results into "corrected" Ft values, similar to the superallowed 0+ -> 0+ pure Fermi beta transitions, were calculated. Precisions of the resulting values are in most cases between 0.1 % and 0.4 %. These Ft(mirror) values can now be used to extract precise weak interaction information from past and ongoing correlation measurements in the beta decay of the T = 1/2 mirror beta transitions.