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 http://resolver.caltech.edu/CaltechAUTHORS:20120815-144030110
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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.
|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.|
|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.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||15 Aug 2012 22:45|
|Last Modified:||26 Dec 2012 16:00|
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