Theoretical corrections and world data for the superallowed ft values in the beta decays of 42Ti, 46Cr, 50Fe and 54Ni

TL;DR

This paper provides updated theoretical corrections and world data for superallowed Fermi transitions in specific isotopes, enhancing the precision of ft-value calculations and comparing mirror transitions to test correction models.

Contribution

It expands the set of corrected superallowed transitions from 20 to 23 and offers a parameterization for precise f value calculations to improve experimental testing.

Findings

Increased the number of corrected superallowed transitions to 23.

Predicted ft-value asymmetries are sensitive to correction terms.

Provided a parameterization for calculating f values with 0.01% accuracy.

Abstract

Prompted by recent measurements, we have surveyed world data and calculated radiative and isospin-symmetry breaking corrections for the superallowed 0+ -to- 0+ Fermi transitions from 42Ti, 46Cr, 50Fe and 54Ni. This increases the number of such transition with a complete set of calculated corrections from 20 to 23. The results are compared with their equivalents for the mirror superallowed transitions from 42Sc, 46V, 50Mn and 54Co. The predicted ft-value asymmetries of these mirror pairs are sensitive to the correction terms and provide motivation for improving measurement precision so as to be able to test the corrections. To aid in that endeavor, we present a parameterization for calculating the f values for the new transitions to plus/minus 0.01%.