Capture-Positron Branching Ratios

Expressions are given for allowed and first-forbidden $K$ and $L$ capture probabilities, and rules are formulated for obtaining such expressions for capture of any order of forbiddenness from any orbit. The effect of screening on branching ratios is discussed, and a table for the rapid calculation of allowed branching ratios, including screening effects, is given. The results are then applied to the decays of ${\mathrm{Zn}}^{65}$, ${\mathrm{Na}}^{22}$, ${\mathrm{Sc}}^{44}$, and ${\mathrm{V}}^{48}$.