The axial vector current in beta decay

  title={The axial vector current in beta decay},
  author={Murray Gell-Mann and Maurice M. L{\'e}vy},
  journal={Il Nuovo Cimento (1955-1965)},
SummaryIn order to derive in a convincing manner the formula of Goldberger and Treiman for the rate of charged pion decay, we consider the possibility that the divergence of the axial vector current in β-decay may be proportional to the pion field. Three models of the pion-nucleon interaction (and the weak current) are presented that have the required property. The first, using gradient coupling, has the advantage that it is easily generalized to strange particles, but the disadvantages of… 
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SummaryAssuming that the current algebra of Gell-Mann and the PCAC (partially conserved axial-vector current) are valid approximations, and that aspecific form of the LSZ reduction formula for
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An experiment is proposed to test the theory recently advanced by Feynman and Gell-Mann on the vector interaction in BETA decay. According to the theory, the Fermi coupling constant is not
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SummaryThe models of the axial vector current discussed byGell-Mann andLévy are examined further. Generalized Ward identities are derived for the axial vector weak vertex. It is then shown that in
The masses of light mesons, K-mesons and hypersons in 1956
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It is pointed out that a recent suggestion of Schwinger enables one to construct an axial vector current that is conserved to the extent that one neglects the medium strong K-meson interactions.
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