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/QsD2(x,x0), where QsD(x, x0) is the saturation scale for the diffraction processes. The dependence of the saturation scale QsD(x, x0) on both x and x0 is investigated, (Yo = ln(1/x0) is the minimal rapidity gap for the diffraction process). The x-dependence of QsD turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations QsD(x,x0) reveals only a mild dependence on x0. The scaling is shown to hold for x ≪ x0 but is violated at x ∼ x0.
ASJC Scopus subject areas
- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)