Properties of possible composite lepton states induced by neutrinos
197426 pages
Published in:
- Nuovo Cim.A 20 (1974) 1-26
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Abstract: (Springer)
In the hypothesis that the long-range forces due to exchange of neutrino pairs between leptons remain unaltered up to distances of the order of the square root of the Fermi coupling constant, the possibility of existence of lepton-antilepton massless vector bound states is considered and studied with a Bethe-Salpeter equation in the ladder approximation. The equation is reduced to a system of coupled Fredholm integral equations for the spectral function of the vertex free-lepton-bound-state. In the zeroth-order approximation the form factor of the vertex is given and the effective renormalized coupling constant computed. It turns out to be rather insensitive to the dependence of the neutrino forces from the distance near the origin (with exception of the Coulomb dependence) and in our approximation it results about 7 times larger than the electric one. This result is interpreted as an indication that also for leptons the electromagnetic vertex must be conceived as belonging to a higher-symmetry invariant vertex.- weak interaction
- lepton lepton: interaction
- interaction: lepton lepton
- lepton: antiparticle
- lepton lepton: bound state
- neutrino: exchange
- exchange: neutrino
- bethe-salpeter equation
- approximation: ladder
- analytic properties: spectral function
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