2000/04/30 by A. P. Bakulev, Alexander P. Bakulev, Rusko Ruskov +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.62.054018
published as Phys.Rev.D62:054018,2000 · 16 pages, LaTeX, 9 eps figures, revtex, aps, floats, psbox.tex, corrected typos, changed slightly text, version to be published in Phys.Rev.D
arxiv created 2000/05/24 · openalex publication_date 2000/08/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Applying arguments based on the operator product expansion for a three-point correlator and relying on quark-hadron duality, we derive an expression for the skewed (non-forward) parton distribution in the pion in the case of a zero-skewedness parameter F_\ensuremathζ=0^\ensuremathψ|\ensuremathπ(X;t). We expect that our result is relevant for moderately large momentum transfers 1\ensuremath\lesssimt\ensuremath\lesssim10 GeV2. In addition, we construct a purely phenomenological factorized model for the same quantity in close analogy to Radyushkin's model, originally proposed for skewed distributions of quarks in the nucleon. Though the quark-hadron duality approach supports theoretically the factorized model, the two models exhibit a different behavior in the parton momentum fraction X at any fixed t. The relevant process to distinguish between the two options seems to be the WACS off the pion that measures (to leading t/s order) the inverse moment 〈X^\ensuremath-1〉 of the skewed distribution. Even after the inclusion of the first order kinematic t/s corrections, the predictions for the cross section (d\ensuremathσ/dt)(s,t) at c.m.s. scattering angles \ensuremathϑ=30\ifmmode^∘\else\textdegree\fi and 90\ifmmode^∘\else\textdegree\fi differ by factors of 3.5--3.9 and 2.9--7.5, respectively, so that a discrimination appears possible.