A Note on the Leptonic Decays of the K-Meson

In this note we present an analysis of the leptonic decay modes of the K-meson in terms of a four-parameter representation of the two form factors F1(q^2) and F3(q^2) which describe the matrix element of the vector current of the weak interactions, < π |Vα| K >. Such a representation, while general enough to take account of the violation of the ΔΙ = 1/2 rule and the possible existence of two resonances in the K-π system, no longer permits unique predictions for the ratio of the electron to muon decay rate, or of the pion spectrum. We therefore suggest that experiments be carried out to determine the four unknown parameters, and theoretical attention be turned to relating these parameters to measurable quantities occurring in related processes.