Summary
Starting from a non-linear isospinor-spinor field equation, generalized three-particle Bargmann-Wigner equations are derived. In the strong-coupling limit, a special class of spin-1/2 bound states are calculated. These solutions which are antisymmetric with respect to all indices, have mixed symmetries in isospin-superspin space and in spin orbit space. As a consequence of this mixed symmetry, we get three solution manifolds. These solution manifolds are interpreted as the three generations of leptons and quarks. This interpretation will be justified in a forthcoming paper.
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Pfister, W. Mixed-symmetry solutions of generalized three-particle Bargmann-Wigner equations in the strong-coupling limit. Nuov Cim A 108, 1427–1444 (1995). https://doi.org/10.1007/BF02821059
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DOI: https://doi.org/10.1007/BF02821059