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- Title
Decoupling of the leading contribution in the discrete BFKL analysis of high-precision HERA data.
- Authors
Kowalski, H.; Lipatov, L.; Ross, D.; Schulz, O.
- Abstract
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, $$ \omega $$ , together with a small contribution from a continuum of eigenfunctions with negative $$ \omega $$ , provide an excellent description of high-precision HERA $$F_2$$ data in the region, $$x<0.001$$ , $$Q^2 > 6 $$ $$\hbox {GeV}^2$$ . 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.
- Subjects
DISCRETE systems; EIGENVALUES; EIGENFUNCTIONS; MATHEMATICAL decoupling; POMERONS
- Publication
European Physical Journal C -- Particles & Fields, 2017, Vol 77, Issue 11, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-017-5359-7