Electron-muon puzzle and the electromagnetic coupling constant

Journal Article · Wed Jun 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.3727· OSTI ID:7221481

Jehle, H

On the basis of a heuristic model we argued in an earlier paper (paper C of this series) electric field (and of course the magnetic field, too) of a lepton or of a quark may be formulated in terms of a closed loop of quantized magnetic flux whose alternative forms (''loopforms'') are superposed with probability amplitudes so as to represent the electromagnetic field of that lepton or quark. The Zitterbewegung of a single stationary (''elementary'') particle suggests a kind of quasiextension, which is assumed, in the present theory, to permit concepts of structuralization of the electromagnetic field even for leptons. Mesons and baryons may be represented by linked quantized flux loops, i.e., quark loops (as in paper B). The central problem now (in this paper D) is to formulate those probability-amplitude distributions in terms of wave functions to characterize the internal structure of the lepton or quark in question. As probability-amplitude functions one may choose bases of irreducible representations of the group with respect to which the model is to be invariant. It is seen that this implies the SO(4) group. As both the electron-muon mass ratio and the electromagnetic coupling constant depend, in this flux-quantization model, on the correct formulation of the structuralization of probability-amplitude distributions, we should expect to get an insight into both these puzzles from finding the right probability-amplitude wave functions. Furthermore, it is seen that this same structuralization of probability-amplitude distributions also permits one to estimate the rate of weak interactions, thus relating them to electromagnetic interactions.

• Research Organization: Institute for Theoretical Physics, University of Amsterdam, Valckenierstr. 65, Amsterdam C, The Netherlands
• OSTI ID: 7221481
• Journal Information: Phys. Rev., D; (United States), Vol. 15:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRON-MUON UNIVERSALITY
ELECTRONS
COUPLING CONSTANTS
WAVE FUNCTIONS
MUONS
AMPLITUDES
ELECTROMAGNETIC FIELDS
MAGNETIC FLUX
QUARK MODEL
SINGULARITY
SO GROUPS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties