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The possibility that leptons, quarks or both might be highly relativisticbound states of a spin-0 and spin-1/2 constituent bound by minimalelectrodynamics is discussed. Typically, strongly bound solutions of theBethe-Salpeter equation exist only when the coupling constant is on the orderof or greater than unity. For the bound-state system discussed here, thereexist two classes of boundary conditions that could yield strongly boundsolutions with coupling constants on the order of the electromagnetic finestructure constant. In both classes the bound state must have spin one half,thus providing a possible explanation for the absence of higher-spin leptonsand quarks.

Could Leptons, Quarks or both be Highly Relativistic Bound States of Minimally Interacting Fermion and Scalar?