Scaling phenomena from non-linear evolution in high energy DIS

Details Scaling phenomena from non-linear evolution in high energy DIS Scaling phenomena from non-linear evolution in high energy DIS

2001-06-11

arxiv.org/abs/hep-ph/0106112v1

Eur.Phys.J.C21:513-519,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 20 figures

Scientific paper

10.1007/s100520100752

The numerical solutions of the non-linear evolution equation are shown to display the ``geometric'' scaling recently discovered in the experimental data. The phenomena hold both for proton and nucleus targets for all $x$ below $10^{-2}$ and $0.25 {\rm GeV^{2}}\le Q^2 \le 2.5\times10^3 {\rm GeV^{2}}$. The scaling is practically exact (few percent error) in the saturation region. In addition, an approximate scaling is found in the validity domain of the linear evolution where it holds with about 10% accuracy. Basing on the scaling phenomena we determine the saturation scale $Q_s(x)$ and study both its $x$-dependence and the atomic number dependence for the nuclei.

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