The axial vector current in beta decay

@article{GellMann1960TheAV,
  title={The axial vector current in beta decay},
  author={Murray Gell-Mann and Maurice M. L{\'e}vy},
  journal={Il Nuovo Cimento (1955-1965)},
  year={1960},
  volume={16},
  pages={705-726}
}
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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 Abstract—We reexamine the work of Rashdan et al., who considered a chiral model for the nucleon based on the linear sigma model with scalar-isoscalar scalar-isovector mesons coupled to quarks. The
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References

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