Eur. Phys. J. C 22, 647-654 (2002)
https://doi.org/10.1007/s100520100839

Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS

¹ HEP Department, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Tel Aviv 69978, Israel
² DESY Theory Group, 22602, Hamburg, Germany
³ Department of Physics, Technion -- Israel Institute of Technology, Haifa 32000, Israel
⁴ II. Institut für theoretische Physik, Universitä Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

Received: 29 August 2001
Published online: 14 December 2001

Abstract

This paper presents the first numerical solution to the non-linear evolution equation for diffractive dissociation processes in deep inelastic scattering. It is shown that the solution depends on one scaling variable t = Q²/Q^{D 2}_s(x,x₀), where Q^D_s(x,x₀) is the saturation scale for the diffraction processes. The dependence of the saturation scale Q^D_s(x,x₀) on both x and x₀ is investigated, (Y₀ = ln(1/x₀) is the minimal rapidity gap for the diffraction process). The x-dependence of Q^D_s turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations Q^D_s(x,x₀) reveals only a mild dependence on x₀. The scaling is shown to hold for x << x₀ but is violated at x ~ x₀.