Skewed parton distributions and the scale dependence of the transverse size parameter

Abstract

We discuss the scale dependence of a skewed parton distribution of the pion obtained from a generalized light-cone wave function overlap formula. Using a simple ansatz for the transverse momentum dependence of the light-cone wave function and restricting ourselves to the case of a zero skewedness parameter, the skewed parton distribution can be expressed through an ordinary parton distribution multiplied by an exponential function. Matching the generalized and ordinary DGLAP evolution equations of the skewed and ordinary parton distributions, respectively, we derive a constraint for the scale dependence of the transverse size parameter, which describes the width of the pion wave function in transverse momentum space. This constraint has implications for the Fock state probability and valence distribution. We apply our results to the pion form factor.

10 pages, 4 figures; version to appear in Phys. Rev. D; Refs. added, new discussion of results for pion form factor in view of new data

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Cited by in corpus (6)

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• Generalized parton distributions from nucleon form factor data
• Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
• The form factors for the photon to pseudoscalar meson transitions - an update
• Exclusive annihilation p pbar -> gamma gamma in a generalized parton picture
• The skewed quark distribution of the pion at large momentum transfer