Abstract
A lepton octet is constructed by analogy with the baryon octet by the substitution p+→N1e+,Σ+→e1 e+,Σ-→e2μ-, e-N2μ-, where e1, e2,N1,N2 are arbitrary constants. The neutral components are replaced by a linear sum of the electron and muon neutrinos with arbitrary coefficients. The constants are determined from the system of general conditions (normalization, absence of crossed terms of the type (\((\overline p \gamma _\mu n)(\overline \nu \gamma _\mu \mu )\)etc.). As a result, the lepton octet is determined to within a single constant, and this is shown to be identical with the Cabibbo angle. Calculations are also made of the weak decays of baryons of the octet in the case of both “charged” and “neutral currents.” In the case of “charged currents,” the results agree with Cabibbo's theory. Calculations are also made of the lepton-lepton weak interactions and the ratios of the corresponding constants are determined. The ratios are in qualitative agreement with the existing experimental data.
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