A complete survey is presented of all half-life and branching-ratio measurements related to the isospin $T=1/2$ mirror β transitions ranging from ${}^3\mathrm{He}$ to ${}^{83}\mathrm{Mo}$. No measurements are ignored, although some are rejected for cause. Using the decay energies obtained in the 2003 Mass Evaluation experimental $\mathit{ft}$ values are then determined for the transitions up to ${}^{45}\mathrm{V}$. For the first time also all associated theoretical corrections needed to convert these results into “corrected” $\mathcal{F}t$ values, similar to the superallowed $0^{+}\to 0^{+}$ pure Fermi β transitions, were calculated. Precisions of the resulting values are in most cases between 0.1 and 0.4%. These $\mathcal{F}{t}^{\mathrm{mirror}}$ 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 β transitions.

• Received 15 July 2008

DOI:https://doi.org/10.1103/PhysRevC.78.055501