A Model for the Pion Structure Function

Abstract

The pion structure function is investigated in a simple model, where pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi-> gamma* pi scattering amplitude is evaluated and related to the structure functions. It is shown that the introduction of non-perturbative effects, linked to the size of the pion and preserving gauge invariance, allows a connection with the quark distribution. It is predicted that higher-twist terms become negligible for Q2 larger than about 2 GeV2 and that quarks in the pion have a momentum fraction smaller than in the proton case.

14 pages, 6 figures, LaTeX, elsart class

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Cited by in corpus (13)

• Unraveling hadron structure with generalized parton distributions
• Parton distribution functions in the pion from lattice QCD
• Hard exclusive electroproduction of a pion in the backward region
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• Hadron Interactions for Arbitrary Energies and Species, with Applications to Cosmic rays
• A Model for the Off-forward Structure Functions of the Pion
• Impact parameter dependent quark distribution of the pion
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Transition Distribution Amplitudes for gamma* gamma collisions
• Generalized Parton Distributions of the Pion
• The Valence Quark Distribution of the Pion
• A Simple Model for Generalised Parton Distributions of the Pion