Summary
In preceding papers electroweak gauge bosons, leptons and quarks have been assumed to arise from two-particle and three-particle bound states of subfermions, where the subfermion dynamics is governed by a non-linear spinor-field equation with appropriate regularization and globalSU(2)×U(1) invariance. The bound states were classified according to a shell model scheme and theSU(2)×U(1) quantum numbers. It has been shown that the effective dynamics of three-particle states with symmetric configurations in isospin-superspin degrees of freedom coincides with the phenomenologicalSU(2)×U(1) unbroken gauge theory. In this paper we extend these results to the inclusion of the three generations of leptons and quarks. This is done by considering three-particle bound states with mixed symmetry in isospin-superspin space which had been calculated in a previous paper. Apart from symmetry breaking and left-right asymmetry, the effective dynamics of these three-subfermion bound states and the two-particle bound states yields theSU(2)×U(1) gauge theory with the correct phenomenological quantum numbers of leptons, quarks and gauge bosons including the three generations.
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Pfister W andStumpf H.,Nuovo Cimento A,108 (1995), 947.
Stumpf H.,Z. Naturforsch. A,41 (1986) 683, 1399;42 (1987) 213.
Stumpf H. andBorne Th.,Composite Particle Dynamics in Quantum Field Theory (Vieweg Verlag, Wiesbaden/Braunschweig) 1994.
Stumpf H. andPfister W.,Nuovo Cimento A,105 (1992), 677.
Pfister W.,Nuovo Cimento A,106, (1993) 363.
Grimm G.,Z. Naturforsch. A,49 (1994) 649.
Pfister W.,Mixed symmetry solution of generalized three-particle Bargmann-Wigner equations in the strong-coupling limit, to be published inNuovo Cimento A,108 (1995).
Stumpf H.,Z. Naturforsch. A,37 (1982) 1295;Grosser D.,Z. Naturforsch. A,38 (1983) 1293.
Grimm G., thesis, University of Tübingen (1994)
Kramer P., John G. andSchenzle D.,Group Theory and the Interaction of Composite Nucleon Systems (Vieweg Verlag, Wiesbaden/Braunschweig) 1981.
Lauxmann T., thesis, University of Tübingen (1986).
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Pfister, W. Hidden quantum numbers of the groupS(3) as a classification scheme of the generations of leptons and quarks in a subfermion model. Nuov Cim A 108, 1365–1389 (1995). https://doi.org/10.1007/BF02789489
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DOI: https://doi.org/10.1007/BF02789489