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Saturation In Deep Inelastic Scattering

2004/06/14 by Emil Avsar, Avsar, Emil
Earth and Planetary Sciences · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Seismic Imaging and Inversion Techniques #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0406150

44 pages, 24 figures

arxiv created 2004/06/14 · openalex publication_date 2004/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The solution to the BFKL equation grows like a power of center of mass energy, s, violating unitarity conditions at high energies. The growth of the cross section can be tamed by taking into account multiple pomeron exchanges. This is known as saturation and it is expressed in the Balitsky-Kovchegov equation. Conservation of energy should also slow down the growth of the cross section, and our aim in this work is to study the effects of enforcing energy conservation in DIS-events. Using the dipole picture, onium-onium collisions can be viewed, in the large Nc and the leading logarithmic limits, as the scattering of a collection of color dipoles. We construct a Monte Carlo program, based on Mueller's model and using energy conservation, to study onium-onium and onium-nucleus collisions. Dipole fusion processes will be important at high gluon densities and should also slow down the growth of the cross section. We propose an expression for the fusion factor and use it in our Monte Carlo to study its effects.

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