The energy dependence of the saturation momentum

2002/05/15 by A.H. Mueller, A. H. Mueller, D.N. Triantafyllopoulos +1 · 337 citations
Mathematics · Physics and Astronomy · #Amplitude #Coupling (piping) #Exponential function #Exponential growth #Geometry #High-Energy Particle Collisions Research #Limiting #Materials science #Mathematical analysis #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Saturation (graph theory) #Scaling #Scattering #Scattering amplitude #Statistical physics #hep-ph

paper · pdf · doi:10.1016/s0550-3213(02)00581-3

published in Nuclear Physics B 640(1-2), 331-350 (Elsevier BV) · 27 pages, 4 figures, Latex

arxiv created 2002/05/15 · openalex publication_date 2002/09/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study BFKL evolution and, in particular, the energy dependence of the saturation momentum in the presence of saturation boundaries limiting the region of linear BFKL evolution. In the case of fixed coupling evolution we confirm the previously found exponential term in Q_s(Y) and determine the prefactor Y and α dependences. In the running coupling case we find Y^1/6 corrections to the Y^1/2exponential behavior previously known. Geometrical scaling of the scattering amplitude is valid in a wide-range of momenta for fixed coupling evolution and in a more restricted region for running coupling evolution.

Citations

• Diffusion into infrared and unitarization of the Balitskiĭ-Fadin-Kuraev-Lipatov Pomeron
• Non-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Onium-onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL pomeron
• Manifestations of high density QCD in the first RHIC data
• Saturation effects in deep inelastic scattering at lowQ2and its implications on diffraction
• Effective field theory for the small-x evolution

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• Geometric scaling in Mueller–Navelet jets
• Spin-glass model of QCD near saturation