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

•
• Overview
•
• Research
•
•
• View All
•

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

### publication date

• January 1, 2002