Abstract:
The formal framework of a theory containing $N$ elementary particles with the same quantum
numbers is described. It is shown that the proper mass of the elementary particles must
have poles if composite particles with the same quantum numbers can be formed. Equations
are written down that determine the parameters of a composite particle. The symmetry of
these equations under permutations of the parameters of the composite particle and any one
of the elementary particles is discussed; this symmetry does not, however, always imply
physical equivalence of these particles. Another problem investigated is the possibility of
describing the composite particles in such a theory as a special case of elementary particles
of a different theory. Conditions of nonelementarity are formulated; these transform $M$ of
$N+M$ particles with identical quantum numbers into composite particles.
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