Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-08-21
Nucl.Phys. A714 (2003) 145-160
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, LaTeX 2e, 9 eps figures included, revised version (no changes in text, only 1 LATEX command is changed)
Scientific paper
10.1016/S0375-9474(02)01322-2
Valence u- and d-quarks distributions in proton are calculated in QCD at low $Q^2$ and intermediate x, basing on the operator product expansion (OPE). The imaginary part of the virtual photon scattering amplitude on quark current with proton quantum numbers is considered. The initial and final virtualities $p^2_1$ and $p^2_2$ of the currents are assumed to be large, negative and different, $p^2_1 \not= p^2_2$. The OPE in $p^2_1$, $p^2_2$ up to dimension 6 operators was performed. Double dispersion representations in $p^2_1, p^2_2$ of the amplitudes in terms of physical states contributions are used. Putting them to be equal to those calculated in QCD, the sum rules for quark distributions are found. The double Borel transformations are applied to the sum rules. Leading order perturbative corrections are accounted. Valence quark distributions are found: $u(x)_v$ at $0.15
Ioffe Lev B.
Oganesian Armen G.
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