Theory of the Fermi Interaction

Theory of the Fermi Interaction

January 1, 1958 | R. P. Feynman and M. Gell-Mann
The paper by R. P. Feynman and M. Gell-Mann discusses the theory of Fermi interactions, focusing on the representation of Fermi particles using two-component Pauli spinors and the weak four-fermion coupling in $\beta$ decay. They propose that this coupling is universal, leading to equal amounts of vector and axial vector coupling with two-component neutrinos and conservation of leptons. The authors explore the implications of this theory, including the parity violation in weak decays and the polarization of electrons emitted in $\beta$ decay. They also discuss the universality of the weak interaction, its implications for muon decay, and the calculation of the muon lifetime. The paper highlights the agreement between theoretical predictions and experimental results, particularly in $\beta$ decay and muon decay, but also points out discrepancies in certain experiments, such as the recoil experiment in He4 and the $\pi^- \rightarrow \pi^0 + e + \bar{\nu}$ decay. The authors suggest that these discrepancies may indicate experimental errors or the need for further theoretical developments. The paper concludes with suggestions for future experiments and theoretical studies to better understand the weak interaction.The paper by R. P. Feynman and M. Gell-Mann discusses the theory of Fermi interactions, focusing on the representation of Fermi particles using two-component Pauli spinors and the weak four-fermion coupling in $\beta$ decay. They propose that this coupling is universal, leading to equal amounts of vector and axial vector coupling with two-component neutrinos and conservation of leptons. The authors explore the implications of this theory, including the parity violation in weak decays and the polarization of electrons emitted in $\beta$ decay. They also discuss the universality of the weak interaction, its implications for muon decay, and the calculation of the muon lifetime. The paper highlights the agreement between theoretical predictions and experimental results, particularly in $\beta$ decay and muon decay, but also points out discrepancies in certain experiments, such as the recoil experiment in He4 and the $\pi^- \rightarrow \pi^0 + e + \bar{\nu}$ decay. The authors suggest that these discrepancies may indicate experimental errors or the need for further theoretical developments. The paper concludes with suggestions for future experiments and theoretical studies to better understand the weak interaction.
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