### Skewed and double distributions in pion and nucleonSkewed and double distributions in pion and nucleon

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 Author Polyakov, M. V. ♦ Weiss, C. Source arXiv.org Content type Text File Format PDF Date of Submission 1999-02-23 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph Abstract We study the non-forward matrix elements of twist-2 QCD light-ray operators and their representations in terms of skewed and double distributions, considering the pion as well as the nucleon. We point out the importance of explicitly including all twist-2 structures in the double distribution representation, which naturally leads to a two-component'' structure of the skewed distribution, with different contributions in the regions X > xi/2 and X < \xi/2. We compute the skewed and double quark distributions in the pion at a low normalization point in the effective chiral theory based on the instanton vacuum. Also, we derive the crossing relations expressing the skewed quark distribution in the pion through the distribution amplitude for two--pion production. Measurement of the latter in two-pion production in gamma^* gamma and gamma^* N reactions could provide direct information about the skewed as well as the usual quark/antiquark-distribution in the pion. Description Reference: Phys.Rev.D60:114017,1999 Educational Use Research Learning Resource Type Article Page Count 37