Pion Parton Distributions in a non local Lagrangian

Details Pion Parton Distributions in a non local Lagrangian Pion Parton Distributions in a non local Lagrangian

2005-05-12

arxiv.org/abs/hep-ph/0505102v3

Eur.Phys.J. A28 (2006) 227-236

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 11 pages with 6 figures

Scientific paper

10.1140/epja/i2006-10045-5

We use phenomenological nonlocal Lagrangians, which lead to non trivial forms for the quark propagator, to describe the pion. We define a procedure, based on the Dyson-Schwinger equations, for the calculation of the pion parton distributions at low Q^2. The obtained parton distributions fulfill all the wishful properties. Using a convolution approach we incorporate the composite character of the constituent quarks in the formalism. We evolve, using the Renormalization Group, the calculated parton distributions to the experimental scale and compare favorably with the data and draw conclusions.

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