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Experimental consequences of the hypothesis of Regge poles

Frautschi, S. C. and Gell-Mann, M. and Zachariasen, F. (1962) Experimental consequences of the hypothesis of Regge poles. Physical Review, 126 (6). pp. 2204-2218. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:FRApr62

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Abstract

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 sα(t)[sinπα(t)]-1, where s is the energy variable and t the momentum transfer variable. When t=tR, the mass squared of the particle, then α 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 n>1, we can usually not renormalize successfully; when n≤1 and the theory is renormalizable, then the high-energy behavior is typically sn(t-tR)-1φ(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 π-π, π-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.


Item Type:Article
Additional Information:©1962 The American Physical Society. Received 8 January 1962. It is a pleasure to thank Geoffrey F. Chew for numerous enlightening conversations and the Lwrence Radiation Laboratory of the University of California at Berkeley for its hospitality to the HEPS group. Work supported in part by the Alfred P. Sloan Foundation and the U.S. Atomic Energy Commission. This research was begun under the auspices of the High-Energy Physics Study Group (HEPS) at the Lawrence Radiation Laboratory of the University of California at Berkeley in the summer of 1961. All of the authors were at that time members of HEPS.
Record Number:CaltechAUTHORS:FRApr62
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FRApr62
Alternative URL:http://dx.doi.org/10.1103/PhysRev.126.2204
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5650
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Oct 2006
Last Modified:30 Oct 2013 16:57

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