2017/07/31 by H. Kowalski, L. N. Lipatov, L.N. Lipatov +3
Physics and Astronomy · #Decoupling (probability) #Eigenfunction #Eigenvalues and eigenvectors #HERA #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Omega #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Pomeron #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Simple (philosophy) #Spectrum (functional analysis) #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-017-5359-7
35 pages, 16 figures, the new version gives more explanations of the method and of the results
arxiv created 2017/10/12 · openalex publication_date 2017/11/01 · openalex created_date 2017/11/10 · arxiv updated 2017/12/06 · openalex updated_date 2026/08/06
We analyse, in NLO, the physical properties of the discrete eigenvalue solution for the BFKL equation. We show that a set of eigenfunctions with positive eigenvalues, ω ω , together with a small contribution from a continuum of eigenfunctions with negative ω ω , provide an excellent description of high-precision HERA F2 F 2 data in the region, x<0.001 x < 0.001 , Q2 > 6 Q 2 > 6 \hbox GeV2 GeV 2 . The phases of the eigenfunctions can be obtained from a simple parametrisation of the pomeron spectrum, which has a natural motivation within BFKL. The data analysis shows that the first eigenfunction decouples completely or almost completely from the proton. This suggests that there exists an additional ground state, which is naturally saturated and may have the properties of the soft pomeron.