Quark distributions in extended QCD sum rule approach

Abstract

The improved calculation method of quark distributions in hadrons in the framework of QCD sum rules is presented. The imaginary part of the virtual photon scattering amplitude on some hadronic current is considered in the case, when initial and final virtualities of the current $p^2_1$ and $p^2_2$ are different, $p^2_1\not= p^2_2$. The double Borel transformation in $p^2_1, p^2_2$ is applied to the sum rule, killing background non-diagonal transition terms, which deteriorated the accuracy in the previous calculations. Valence quark distributions in the pion were found in a good agreement with the data, determined from the Drell-Yan process.