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

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

2001-08-29

arxiv.org/abs/hep-ph/0108239v1

Eur.Phys.J.C22:647-654,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 9 figures

Scientific paper

10.1007/s100520100839

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 $\tau = Q^2/Q^{D 2}_s(x,x_0)$, where $Q^D_s(x,x_0)$ is the saturation scale for the diffraction processes. The dependence of the saturation scale $Q^D_s(x,x_0)$ on both $x$ and $x_0$ is investigated, ($Y_0 = \ln(1/x_0)$ is a minimal rapidity gap for the diffraction process). The $x$ - dependence of $Q^D_s$ turns out to be the same as of the saturation scale in the total inclusive DIS cross section. In our calculations $Q^D_s(x,x_0)$ reveals only mild dependence on $x_0$. The scaling is shown to hold for $x \ll x_0$ but is violated at $ x \sim x_0$.

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