Pion Structure Function and Violation of the Momentum Sum Rule

Details Pion Structure Function and Violation of the Momentum Sum Rule Pion Structure Function and Violation of the Momentum Sum Rule

2002-11-28

arxiv.org/abs/hep-ph/0211450v1

AIP Conf.Proc. 660 (2003) 339-352

Physics

High Energy Physics

High Energy Physics - Phenomenology

Presented by J.P. Lansberg at the II International Workshop on Hadron Physics, 25-29 September, 2002, Coimbra, Portugal, 14 pa

Scientific paper

10.1063/1.1570584

We present a method to evaluate the pion structure functions from a box diagram calculation. Pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The gamma^* pi -> q \bar q cross-section is evaluated and related to the structure functions. We then show that the introduction of non-perturbative effects, related to the pion size and preserving gauge invariance, provides us with a straighforward relation with the quark distribution. It is predicted that higher-twist terms become negligible for Q^2 larger than about 2 GeV^2 and that quarks in the pion have a momentum fraction smaller than in the proton. We enlarge the discussion concerning this violation of the momentum sum rule, emphasizing that the sum rule is recovered in the chiral limit and also when the finite size condition is not imposed.

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