Analyticity Constraints on Unequal-Mass Regge Formulas
- Creators
- Goldberger, Marvin L.
- Jones, C. Edward
Abstract
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.Attached Files
Published - GOLpr66c.pdf
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Additional details
- Eprint ID
- 33235
- Resolver ID
- CaltechAUTHORS:20120815-144030110
- Air Force Office of Research
- AF49(638)-1545
- Created
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2012-08-15Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field