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How strong are the Pomeron decoupling theorems?

C. E. Jones and M. N. Misheloff

  • Behlen Laboratory of Physics, University of Nebraska, Lincoln, Nebraska 68588

Phys. Rev. D 13, 95 – Published 1 January, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.95

Abstract

We investigate how close to one a Pomeron pole can be before the decoupling mechanisms make the total pion-pion cross section too small to be consistent with that deduced from experiment by means of factorization. Our method employs energy-momentum sum rules for singly and doubly inclusive cross sections. By assuming pion pole dominance in the forward direction we are able to eliminate the triple-Pomeron coupling, which leaves an inequality involving only the Pomeron-pole location and the pion-Pomeron coupling. From this we are able to conclude that the decoupling mechanism is exceedingly weak.

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