Generalized parton distributions of the pion

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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presented by WB at SCADRON 70 ``Scalar Mesons and Related Topics, Lisbon, 11-16 February 2008, 6 pages

Scientific paper

10.1063/1.2973514

Generalized Parton Distributions of the pion are evaluated in chiral quark models with the help of double distributions. As a result the polynomiality conditions are automatically satisfied. In addition, positivity constraints, proper normalization and support, sum rules, and soft pion theorems are fulfilled. We obtain explicit expressions holding at the low-energy quark-model scale, which exhibit no factorization in the t-dependence. The crucial QCD evolution of the quark-model distributions is carried out up to experimental or lattice scales. The obtained results for the Parton Distribution Function and the Parton Distribution Amplitude describe the available experimental and lattice data, confirming that the quark-model scale is low, around 320 MeV.

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