Analyticity Constraints on Unequal-Mass Regge Formulas

Phys. Rev. 150, 1269 – Published 28 October 1966
Marvin L. Goldberger and C. Edward Jones

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 uα(s) even in regions where the cosine of the scattering angle of the relevant crossed reaction may be bounded. The simultaneous requirements of l-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 uα(0)-1 which has no analog in the equal-mass problem. We also conclude that a necessary condition for consistency is α()<0.

DOI: http://dx.doi.org/10.1103/PhysRev.150.1269

  • Received 27 May 1966
  • Published in the issue dated October 1966

© 1966 The American Physical Society

Authors & Affiliations

Marvin L. Goldberger and C. Edward Jones

  • Palmer Physical Laboratory, Princeton University, Princeton, New Jersey

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