Alternative Constructions of Crossing-Symmetric Amplitudes with Regge Behavior

Phys. Rev. 177, 2309 – Published 25 January 1969
M. A. Virasoro

Abstract

A representation for the scattering amplitude that contains Regge behavior, crossing symmetry, and analyticity is discussed. It is shown that it provides a different ghost-eliminating mechanism (the Mandelstam-Wang one) from that given by Veneziano's proposal. Furthermore, it does not restrict the external masses, but reduces to Veneziano's formula when α(s)+α(t)+α(u) equals a particular integer that depends on the reaction. Several examples are discussed. The behavior of the Regge residue βρππ(t) at αρ(t)=0 is proposed as a test that distinguishes the two representations.

DOI: http://dx.doi.org/10.1103/PhysRev.177.2309

  • Received 5 September 1968
  • Published in the issue dated January 1969

© 1969 The American Physical Society

Authors & Affiliations

M. A. Virasoro

  • Department of Physics, University of Wisconsin, Madison, Wisconsin 53706

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