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Theory of the Fermi interaction

Feynman, R. P. and Gell-Mann, M. (1958) Theory of the Fermi interaction. Physical Review, 109 (1). pp. 193-198. ISSN 0031-899X. doi:10.1103/PhysRev.109.193.

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The representation of Fermi particles by two-component Pauli spinors satisfying a second order differential equation and the suggestion that in β decay these spinors act without gradient couplings leads to an essentially unique weak four-fermion coupling. It is equivalent to equal amounts of vector and axial vector coupling with two-component neutrinos and conservation of leptons. (The relative sign is not determined theoretically.) It is taken to be "universal"; the lifetime of the μ agrees to within the experimental errors of 2%. The vector part of the coupling is, by analogy with electric charge, assumed to be not renormalized by virtual mesons. This requires, for example, that pions are also "charged" in the sense that there is a direct interaction in which, say, a π0 goes to π- and an electron goes to a neutrino. The weak decays of strange particles will result qualitatively if the universality is extended to include a coupling involving a Λ or Σ fermion. Parity is then not conserved even for those decays like K→2π or 3π which involve no neutrinos. The theory is at variance with the measured angular correlation of electron and neutrino in He6, and with the fact that fewer than 10^-4 pion decay into electron and neutrino.

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Additional Information:©1958 The American Physical Society. Received 16 September 1957. The authors have profited by conversations with F. Boehm, A. H. Wapstra, and B. Stech. One of us (M.G.M.) would like to thank R. E. Marshak and E. C. G. Sudarshan for valuable discussions.
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3514
Deposited By: Tony Diaz
Deposited On:12 Jun 2006
Last Modified:08 Nov 2021 19:56

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