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Analyticity Constraints on Unequal-Mass Regge Formulas

Goldberger, Marvin L. and Jones, C. Edward (1966) Analyticity Constraints on Unequal-Mass Regge Formulas. Physical Review, 150 (4). pp. 1269-1275. ISSN 0031-899X. doi:10.1103/PhysRev.150.1269.

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A Regge-pole formula is derived for the elastic scattering of two unequal-mass particles that combines desirable l-plane analytic properties (i.e., a simple pole at l=α in the right-half l plane) and Mandelstam analyticity. It is verified that such a formula possesses the standard asymptotic Regge behavior u^(α(s)) even in regions where the cosine of the scattering angle of the relevant crossed reaction may be bounded. The simultaneous requirements of I-plane and Mandelstam analyticity enforce important constraints, and the consistency of these constraints is studied. These considerations lead to the appearance of a "background" term proportional asymptotically to u^(α(0)-1) which has no analog in the equal-mass problem. We also conclude that a necessary condition for consistency is α(∞)<0.

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Additional Information:© 1966 The American Physical Society. Received 27 May 1966; published in the issue dated October 1966. Work supported by the U.S. Air Force Office of Research, Air Research and Development Command under Contract No. AF49(638)-1545. It is a pleasure to thank Dr. M. Froissart for several stimulating conversations.
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Air Force Office of ResearchAF49(638)-1545
Issue or Number:4
Record Number:CaltechAUTHORS:20120815-144030110
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Official Citation:Analyticity Constraints on Unequal-Mass Regge Formulas Marvin L. Goldberger and C. Edward Jones pp. 1269-1275
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33235
Deposited By: Ruth Sustaita
Deposited On:15 Aug 2012 22:45
Last Modified:09 Nov 2021 21:33

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