Goldberger, M.L.; Treiman, S.B.; Decay of the Meson
Phys. Rev. 110 (1958) 1178;
Reprinted in The Development of Weak Interaction Theory, editor P. K. Kabir, Gordon and Breach Science Publishers, New York - London, (1963) 209.
The Physical Review - the First Hundred Years, AIP Press (1995) CD-ROM.
A quantitative study of decay is presented using the techniques of dispersion theory. The discussion is based on a model in which the decay occurs through pion disintegration into a nucleon-antinucleon pair, the latter annihilating via a Fermi interaction to produce the leptons. The weak vertex contains effectively both axial vector and pseudoscalar
couplings even if one adopts the point of view of a universal axial vector and vector Fermi interaction. The pion-nucleon vertex which enters our model is also calculated using dispersion techniques. Under the assumption that this vertex is damped for large momentum transfers, we obtain a result for the pion lifetime largely independent of the detailed properties of the vertex and one which is in very close agreement with experiment. The precise prediction of our theory depends on the energy dependence
of the complex phase shift for nucleon-antinucleon scattering in the 1S0 isotopic triplet state.
Related references See also M. A. Ruderman and R. J. Finkelstein, Phys. Rev. 76 (1949) 1458;
S. B. Treiman and H. W. Wyld, Phys. Rev. 101 (1956) 1552;
H. Lehmann, K. Symanzik, and W. Zimmermann, Nuovo Cim. 2 (1955) 425;
Analyse data from J. M. Cassels, Rigby, A. M. Wetherell, and J. R. Wormald, Proc. Roy. Soc. 70 (1957) 729;
H. L. Anderson and C. M. G. Lattes, Nuovo Cim. 6 (1957) 1356;