Note on the Beta Interaction

This is the authors' abstract. We don't add key points for this paper.

It is shown that the most general Lorentz invariant interaction between four mutually anticommuting fields leads to matrix elements of the form (S-T+P)f₁(n, m)+(V-A)f₂(n, m)+(S-A-P)f₃(n, m). In the charge-exchange order, neutron and muon decay are compatible with f₂=f₃=0; charged pion decay appears to correspond to f₁=f₃=0. It is noted that the hypothesis of the same interaction between all fermions does not imply that f₁, f₂, and f₃ are numerical constants; it is possible that they are functions of new variables ($n, m$) needed to characterize the associated Feynman diagrams: n indicates the number of particles produced in the reaction and m the number of particles minus antiparticles. One can make a simple choice of the fᵢ in such a way that the interaction is sometimes S-T+P, sometimes V-A, and never S-A-P.