Possible Experiments for Determination of Beta Interactions. I

Some possible experiments are proposed for deciding the relative strength of scalar and vector interactions and that of tensor and axial interactions in beta decay. For all the proposed experiments, it is necessary to measure the recoil of the nucleus directly or the nuclear resonance fluorescence caused by a gamma ray which follows the beta decay or $K$ capture. Formulas are given for decays involving the beta-gamma cascades and $K$ capture-gamma-gamma cascades. We describe possible experiments for decays involving beta-gamma-gamma cascades, but do not give explicit formulas. They will be presented in a subsequent paper. These experiments will also determine whether the beta interaction is the same for both signs of the electric charge.