Boson Currents in the Theory of Weak Interactions

Abstract

A possible new method of introducing boson currents into the weak interaction is suggested. The Bose fields are assumed to obey the first-order Kemmer equation. In this way, the boson and fermion currents enter the interaction in a symmetric manner. Three coupling constants are introduced according to the degree of isotopic spin and strangeness symmetries of the currents. The interaction so obtained gives rise in a natural way to the $|\ensuremath{\Delta}T|=\frac{1}{2}$ selection rule and its violation, and also to fast pionic modes and slow leptonic modes of hyperon decay. First-order calculations are performed for ${{K}_{l3}}^{+}$, $\ensuremath{\tau}$, and ${\ensuremath{\tau}}^{\ensuremath{'}}$ decays. Calculations of the decay rates yield sufficient information to determine the approximate magnitudes of the effective coupling constants. The first-order calculations are at variance with the experimentally uniform distribution of $\ensuremath{\tau}$ events in the Dalitz plot.