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arxiv: hep-ph/0407266 · v1 · submitted 2004-07-22 · ✦ hep-ph

A Simple Model for Generalised Parton Distributions of the Pion

classification ✦ hep-ph
keywords piondistributionsgammageneralisedh3tildemodeloff-forwardparton
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We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is evaluated in the chiral limit (m_pi=0) and related to the twist-two and twist-three generalised parton distributions H, H3, H3tilde. Non-perturbative effects, linked to the size of the pion and still preserving gauge invariance, are included. Remarkable new relations between H, H3 and H3tilde are obtained and discussed.

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