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 #tau#=Q"2/Q_s"D "2(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, (Y_0=ln(1/x_0) is a minimal rapidity gap for the diffraction process). The x-dependence of Q_s"D turns out to be the same as of the saturation scale in the total inclusive DIS cross section. In our calculations Q_s"D(x,x_0) reveals only mild dependence on x_0. The scaling is shown to hold for x<<x_0 but is violated at x#propor to#x_0. (orig.)Available from TIB Hannover: RA 2999(01-122) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman