Speaker
Dr
Robi Peschanski
(IPhT, Saclay)
Description
We identify the nonlinear evolution equation in impact-parameter space for
the ``Supercritical Pomeron'' in Reggeon Field Theory as a 2-dimensional
stochastic Fisher-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'' behaviour 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 distinct regimes corresponding
to zero, weak and strong noise. They have phenomenological implications for
total and differential hadronic cross-sections at colliders.
Primary author
Dr
Robi Peschanski
(IPhT, Saclay)