Frautschi, S.C.; Gell-Mann, M.; Zachariazen, F.; Experimental Consequences of the Hypothesis of Regge Poles
Phys. Rev. 126 (1962) 2204;

Abstracts
In the nonrelativistic case of the Schrödinger 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^{(t)} [sin
(t)]^{-1}, where s is the energy variable and t the momentum transfer variable. When t = t_{R}, the mass squared of the particle, then equals an integer is 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 n > 1, we can usually not renormalize successfully; when n < 1 and the theory is
renormalizable, then the high-energy, behavior is typically s^{n} (t - t_{R})^{-1} (t) . Thus an experimental distinction is possible between the two situations. That is particularly interesting in view of the conjecture of Blankenbecler and Goldberger that the nucleon may be composite and that of Chew and Frautschi that all strongly interacting particles may be composite dynamical combinations of one another. We suggest a set of rules
for finding the high-energy behavior of scattering cross sections according to the Regge pole hypothesis and apply them to -, -N, and N-N scattering. We show how these cross sections differ from those expected when there are "elementary'' nucleons and mesons treated in renormalized perturbation theory. For the case of N-N scattering, we analyze some preliminary experimental data and find
indications that an "elementary'' neutral vector meson is probably not present. Various reactions are proposed to test the "elementary'' or "composite'' nature of other baryons and mesons. Higher energies may be needed than are available at present.

Related references See also T. Regge, Nuovo Cim. 14 (1959) 951;
R. Blankenbecler, M. L. Goldberger, N. N. Khuri, and S. Trieman, Ann.Phys. 10 (1960) 62;
G. F. Chew and S. C. Frautschi, Phys. Rev. Lett. 7 (1961) 394;
G. F. Chew and S. C. Frautschi, Phys. Rev. 124 (1961) 264;
M. Froissart, Phys. Rev. 123 (1961) 1053;
M. Gell-Mann and F. Zachariazen, Phys. Rev. 123 (1961) 1065;
M. Gell-Mann and F. Zachariazen, Phys. Rev. 124 (1961) 953;
S. C. Frautschi and J. D. Walecka, Phys. Rev. 120 (1960) 1486;
R. Blankenbecler and M. L. Goldberger, Phys. Rev. 126 (1962) 766;
B. Cork, W. A. Wenzel, and C. W. Causey, Phys. Rev. 107 (1957) 859;
G. A. Smith et al., Phys. Rev. 123 (1961) 2160;
W. M. Preston, R. Watson, and J. C. Street, Phys. Rev. 118 (1960) 579;
G. Cocconi et al., Phys. Rev. Lett. 7 (1961) 450;
S. D. Drell and Z. Hiida, Phys. Rev. Lett. 7 (1961) 199;
B. M. Udgaonkar and M. Gell-Mann, Phys. Rev. Lett. 8 (1962) 346;
R. J. Eden, P. V. Landshoff, J. C. Polkinghorne, and J. C. Taylor, Jour. Math. Phys. 2 (1961) 656;
S. Mandelstam, Phys. Rev. 115 (1959) 1741;
M. Gell-Mann, Phys. Rev. 125 (1962) 1067;
G. Salzman, Proc. of the 1960 Ann. Int. Conf. on High Energy Physics at Rochester, Interscience Pub. Inc., New York, (1960);
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W. R. Frazer and J. R. Fulco, Phys. Rev. 117 (1960) 1603;
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Record comments
Application of Regge poles to resonances and particles.