Parameterization of the statistical rate function for select superallowed transitions

TL;DR

This paper provides a simple, high-precision parameterization of the statistical rate function for specific nuclear beta transitions, aiding precise V_{ud} determination.

Contribution

It introduces a new parameterization method for the statistical rate function applicable to 20 superallowed and 18 mirror nuclear beta transitions.

Findings

Enables calculation of f values with +/-0.01% precision

Applicable to transitions relevant for V_{ud} measurement

Simplifies computation without complex calculations

Abstract

We present a parameterization of the statistical rate function, f, for 20 superallowed 0+-to-0+ nuclear beta transitions between T=1 analog states, and for 18 superallowed "mirror" transitions between analog T=1/2 states. All these transitions are of interest in the determination of V_{ud}. Although most of the transition Q_{EC} values have been measured, their precision will undoubtedly be improved in future. Our parameterization allows a user to easily calculate the corresponding new f value to high precision (+/-0.01%) without complicated computing.