Abstract
A new method is proposed to describe higher spin composite systems. Our goal is to introduce a discrete string model representing bound states in an N-relativistic particle system. The spectrum of the physical states is obtained for an arbitrary number N of particles in an arbitrary spacetime dimension. Particular illustrative examples of the new method for N = 2, 3, 4 and 5 are given, and the conditions on the existence of physical states with a precise spin content in any particular number of spacetime dimensions are clearly established.
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