## 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 τ = Q^{2}/Q_{s}^{D2}(x,x_{0}), where Q_{s}^{D}(x, x_{0}) is the saturation scale for the diffraction processes. The dependence of the saturation scale Q_{s}^{D}(x, x_{0}) on both x and x_{0} is investigated, (Yo = ln(1/x_{0}) is the minimal rapidity gap for the diffraction process). The x-dependence of Q_{s}^{D} turns out to be the same as the one of the saturation scale in the total inclusive DIS cross section. In our calculations Q_{s}^{D}(x,x_{0}) reveals only a mild dependence on x_{0}. The scaling is shown to hold for x ≪ x_{0} but is violated at x ∼ x_{0}.

Original language | English |
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Pages (from-to) | 647-654 |

Number of pages | 8 |

Journal | European Physical Journal C |

Volume | 22 |

Issue number | 4 |

DOIs | |

State | Published - 2001 |