The Pomeron as a Finite Sum of Gluon Ladder

Details The Pomeron as a Finite Sum of Gluon Ladder The Pomeron as a Finite Sum of Gluon Ladder

2000-02-09

arxiv.org/abs/hep-ph/0002100v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 2 EPS figures, uses epsf.sty and axodraw.sty

Scientific paper

A model for the Pomeron at t=0 is suggested. It is based on the idea of a finite sum of ladder diagrams in QCD. Accordingly, the number of s-channel gluon rungs and correspondingly the powers of logarithms in the forward scattering amplitude depends on the phase space (energy) available, i.e. as energy increases, progressively new prongs with additional gluon rungs in the s-channel open. Explicit expressions for the total cross section involving two and three rungs or, alternatively, three and four prongs (with $\ln^2(s)$ and $\ln^3(s)$ as highest terms) is fitted to the proton-proton and proton-antiproton total cross section data in the accelerator region.

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