Magnetic Moments of Leptons and the Leptonic Boson
Seitaro Nakamura, Hideki Matsumoto, N. Nakazawa, Hiroyuki Ugai · Progress of Theoretical Physics Supplement · 1968
As a possible pattern of elementary particles the leptonic boson possesing a lepton number is introduced and its contributions to the magnetic moments of the muon and the electron are evaluated. A leptonic boson Z0 is assumed to couple with the muon and the electron in the Yukawa type interaction: μ- + e- + \tildeZ0, μ+ + \tildee+ + Z0 (here μ+ and e- are taken as particles). Furthermore, it is assumed that the bosons have the lepton number +2 for Z0 and -2 for Z0. Calculations are done for the case of S (scalar), V (vector), A (axial vector) and P (pseudo scalar) interaction for the Z0 boson vertex. It is found that only for the P interaction we are able to account for the observed deviations of the magnetic moments of the muon and the electron, in so far as the deviations are in the opposite directions with the predicted values of quantum electrodynamics. We tentatively find that the mass of Z0 boson (M ≃ 3.0 Bev) and the coupling constant for the Z0 boson vertex (g2 / 4π = 8.5 × 10-3) explain the anomaly of the magnetic moments of leptons. These results are subject to further observations. The muon pair production by the impact of an electron on a nucleon is expected through the Z0 boson channel. This process could be a candidate for the source of the anomalous muon components explored in the cosmic ray experiments of ultra high energy.