Decay of theπMeson and Goldberger-Treiman Relation

Abstract

An extension of Goldberger and Treiman's approach to charged pion decay is attempted. Derivation of a generalized Goldberger-Treiman relation is studied without recourse to the nucleon-antinucleon pair approximation. A certain type of dispersion relation is presupposed for the annihilation amplitudes of intermediate states into a lepton pair, which contribute to the imaginary part of the decay amplitude. Also discussed is the determination, in principle, of the weak-coupling constants reponsible for the decay.