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Relation between the Multi-Regge Model and the Amati-Bertocchi-Fubini-Stanghellini-Tonin Pion-Exchange Multiperipheral Model

Geoffrey F. Chew, Terence Rogers*, and Dale R. Snider

  • Department of Physics and Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

  • *Present address: Cavendish Laboratory, Cambridge, England.
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Phys. Rev. D 2, 765 – Published 15 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.765

Abstract

The 1962 Amati-Bertocchi-Fubini-Stanghellini-Tonin (ABFST) multiperipheral model, with a kernel based on an up-to-date guess for the elastic ππ cross section, is used to illuminate certain controversial concepts that have arisen in multi-Regge models. The small magnitude of the elastic ππ cross section above the region of prominent resonances is related to the small diffraction-dissociation cross section and to the small Pomeranchon coupling constant in the Chew-Pignotti (CP) model. Although lower trajectories in the multi-Regge kernel give an inadequate representation of low-subenergy resonances, we show that an artificial CP-model input can be found which roughly simulates the resonance component of the ABFST kernel. Byproducts of our investigations are (1) a generalization of the Berestetsky-Pomeranchuk formula that provides a practical basis for exact numerical evaluation of the ABFST model at any energy, and (2) a perturbative analysis of diffractive dissociation (d.d.) which reconciles a small d.d. cross section at accessible energies with a total cross section that becomes entirely of the d.d. type in the extreme high-energy limit.

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Outline

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Phys. Rev. D 2, 765– Published 15 August, 1970
  • Received 8 April 1970

© 1970 American Physical Society

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