Unitarity Constraint on a Regge Trajectory in a Model Amplitude

M. L. Thiebaux
Phys. Rev. D 2, 1711 – Published 15 October 1970

Abstract

A representation is constructed for the elastic scattering of neutral scalar bosons with crossing symmetry, direct-channel poles, polynomial residues, and Regge behavior based on an arbitrary Regge trajectory. It is shown, within the context of a specific model, how the amplitude can approximately satisfy elastic unitarity. A purely linear trajectory is inconsistent with the unitarity constraint unless the amplitude is zero, while the addition of a complex threshold term of definite strength enables elastic unitarity to be numerically approximated.

  • Received 13 March 1970

DOI:https://doi.org/10.1103/PhysRevD.2.1711

©1970 American Physical Society

Authors & Affiliations

M. L. Thiebaux

  • Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01002

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Issue

Vol. 2, Iss. 8 — 15 October 1970

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