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Published July 11, 1966 | Published
Journal Article Open

Consistency Questions Raised by Simultaneous Mandelstam and Angular-Momentum analyticity

Abstract

As the result of a study to determine a Reggepole formula with Mandelstam analyticity for the elastic scattering of two unequal-mass particles, we were led to raise the following question: What are the constraints, if any, that follow from assuming that scattering amplitudes satisfy both the Mandelstam representation and the condition of meromorphism in the right-half angular momentum plane? To put it another way, are Mandelstam and l-plane analyticity necessarily consistent in every case? We find that if there is to be consistency, one can conclude directly that the high-energy limit of the Regge-pole position, α(∞), is necessarily negative.

Additional Information

© 1966 American Physical Society. Received 26 May 1966; published in the issue dated 11 July 1966. Work supported by the U. S. Air Force Office of Research, Air Research and Development Command under Contract No. AF49(638)-1545.

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August 19, 2023
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