Exploring the Pion phenomenology within a fully covariant constituent quark model

Abstract

An overview of the vector and tensor Generalized Parton Distributions for a charged pion is presented. Such observables, belonging to the set of quantities fundamental for a detailed investigation of the hadronic inner dynamics, have been evaluated within a fully covariant Constituent Quark Model, based on a proper Ansatz of the pion Bethe-Salpeter Amplitude and the Mandelstam formula for matrix elements of operators acting on relativistic composite systems. Given the very encouraging results already obtained for the vector distribution of a charged pion, the model has been extended to the tensor one, and some preliminary calculations will be illustrated.

12 pages and 3 figures. Accepted for publication as a regular paper in "Few-Body Systems", and based on a talk delivered at the Workshop on "Critical Stability" Erice, Italy on October 9-15, 2011