Parton skewed distributions in the pion and quark-hadron duality

Alexander P. Bakulev, Rusko Ruskov, Klaus Goeke, and N. G. Stefanis
Phys. Rev. D 62, 054018 – Published 4 August 2000
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Abstract

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 Fζ=0ψ|π(X;t). We expect that our result is relevant for moderately large momentum transfers 1t10GeV2. 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 X1 of the skewed distribution. Even after the inclusion of the first order kinematic t/s corrections, the predictions for the cross section (dσ/dt)(s,t) at c.m.s. scattering angles ϑ=30° and 90° differ by factors of 3.5–3.9 and 2.9–7.5, respectively, so that a discrimination appears possible.

  • Received 12 April 2000

DOI:https://doi.org/10.1103/PhysRevD.62.054018

©2000 American Physical Society

Authors & Affiliations

Alexander P. Bakulev and Rusko Ruskov*

  • Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia

Klaus Goeke and N. G. Stefanis

  • Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany

  • *On leave of absence from the Institute for Nuclear Research and Nuclear Energy, 1784 Sofia, Bulgaria.

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Issue

Vol. 62, Iss. 5 — 1 September 2000

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