Classification of lepton currents

Abstract

We use a description where the neutrino is four-component, the positive muon, the negative electron, and the neutrino are called leptons, and leptons are conserved. We perform unitary transformations (SU3) on the three variables [Μ, v, e to classify particles and currents. We are led to independent sets of currents which have either a definite parity character or a definite chiral character. Those with definite chiral character are physically acceptable and imply that the positive helicity leptons transform under SU3 contragrediently with respect to the negative helicity leptons. The transformation properties allow us to assign quantum numbers similar to strangeness and isotopic spin. A baryonlepton symmetry is formulated implying that positive helicity leptons correspond to p, n, and Z− (baryon withS= −3) and negative helicity leptons correspond to X+ (baryon withS= 1), Ξ0 and Ξ−. The weak four-lepton Lagrangian is written in a form invariant under lepton isospin transformations (SU3) and physical consequences are discussed.