Experimental Consequences of the Hypothesis of Regge Poles

In the nonrelativistic case of the Schrodinger equation, composite particles correspond to Regge poles in scattering amplitudes {poles in the complex plane of angular momentum). It has been suggested that the same may be true in relativistic theory. In that case, the scattering amplitude in which such a particle is exchanged behaves at high energies like s~~'& Lsinvo (t) 7 ', where s is the energy variable and t the momentum transfer variable. When t=t~, the mass squared of the particle, then n equals an integer n related to the spin of the particle. In contrast, we may consider the case of a field theory in which the exchanged particle is treated as elementary and we examine each order of perturbation theory. When