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Consistency Questions Raised by Simultaneous Mandelstam and Angular-Momentum analyticity

Goldberger, Marvin L. and Jones, C. Edward (1966) Consistency Questions Raised by Simultaneous Mandelstam and Angular-Momentum analyticity. Physical Review Letters, 17 (2). pp. 105-107. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20120815-143914963

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.17.105DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevLett.17.105PublisherUNSPECIFIED
http://prl.aps.org/abstract/PRL/v17/i2/p105_1PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Air Force Office of ResearchAF49(638)-1545
Record Number:CaltechAUTHORS:20120815-143914963
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120815-143914963
Official Citation:Consistency Questions Raised by Simultaneous Mandelstam and Angular-Momentum analyticity Marvin L. Goldberger and C. Edward Jones pp. 105-107
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33234
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2012 16:04
Last Modified:26 Dec 2012 16:00

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