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Decay of the pi meson

Goldberger, M. L. and Treiman, S. B. (1958) Decay of the pi meson. Physical Review, 110 (5). pp. 1178-1184. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:GOLpr58a

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Abstract

A quantitative study of π→μ+ν 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.


Item Type:Article
Additional Information:©1958 The American Physical Society. Received 10 February 1958.
Record Number:CaltechAUTHORS:GOLpr58a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GOLpr58a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.110.1178
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7463
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Feb 2007
Last Modified:26 Dec 2012 09:32

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