Traveling wave solution of the Reggeon Field Theory (EPS proceedings)

Details Traveling wave solution of the Reggeon Field Theory (EPS proceedings) Traveling wave solution of the Reggeon Field Theory (EPS proceedings)

2009-09-30

arxiv.org/abs/0909.5612v1

PoS EPS-HEP2009 2009:338,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

4pages, 1 figure, Proceedings of the EPS 2009 conference, Cracow, July 2009

Scientific paper

We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher and Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity and leads in its radial form to an high energy traveling wave solution corresponding to an "universal" behavior of the impact-parameter front profile of the elastic amplitude; Its rapidity dependence and form depend only on one parameter, the noise strength, independently of the initial conditions and of the non-linear terms restoring unitarity. Theoretical predictions are presented for the three typical different regimes corresponding to zero, weak and strong noise, respectively. They have phenomenological implications for total and differential hadronic cross-sections at colliders.

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