EPJ

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EPJ C - Particles and Fields
Particles and Fields


Eur. Phys. J. C 21, 513-519 (2001)
DOI: 10.1007/s100520100752

Scaling phenomena from non-linear evolution in high energy DIS

M. Lublinsky

Department of Physics, Technion -Israel Institute of Technology, Haifa 32000, Israel

(Received: 11 June 2001 / Revised version: 13 July 2001 / Published online: 17 August 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
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 $0.25 {\mathrm {GeV^{2}}}\le Q^2 \le 2.5\times10^3 {\mathrm {GeV^{2}}}$. 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 ourselves on the scaling phenomena we determine the saturation scale Qs(x) and study both its x dependence and the atomic number dependence for the nuclei.



© Società Italiana di Fisica, Springer-Verlag 2001

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