Diffractive Dissociation and Saturation Scale from Non-Linear Evolution in High Energy DIS

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 τ = Q2/QD 2 s (x, x0), where Q D s (x, x0) is the saturation scale for the diffraction processes. The dependence of the saturation scale Qs (x, x0) on both x and x0 is investigated, (Y0 = ln(1/x0) is a minimal rapidity gap for the diffraction process). The x dependence of Qs turns out to be the same as of the saturation scale in the total inclusive DIS cross section. In our calculations Qs (x, x0) reveals only mild dependence on x0. The scaling is shown to hold for x ≪ x0 but is violated at x ∼ x0. DESY-01-122 TAUP 2687 2001 February 1, 2008 e-mail: [email protected] e-mail: [email protected]