W. Pfister, MIXED-SYMMETRY SOLUTIONS OF GENERALIZED 3-PARTICLE BARGMANN-WIGNER EQUATIONS IN THE STRONG-COUPLING LIMIT, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 108(12), 1995, pp. 1427-1444
Starting from a non-linear isospinor-spinor field equation, generalize
d three-particle Bargmann-Wigner equations are derived. In the strong-
coupling limit, a special class of spin-1/2 bound states are calculate
d. These solutions which are antisymmetric with respect to all indices
, have mixed symmetries in isospin-superspin space and in spin orbit s
pace. As a consequence of this mixed symmetry, we get three solution m
anifolds. These solution manifolds are interpreted as the three genera
tions of leptons and quarks. This interpretation will be justified in
a forthcoming paper.