Setting up a 3D vision of the pion within a fully covariant constituent quark model
Giovanni Salme (University of Rome)

Within a fully covariant constituent quark model, based on i) a phenomenological Ansatz of the Bethe-Salpeter amplitude describing the quark-pion vertex and ii) the Mandelstam description of the hadronic tensor, we have investigated both generalized parton distributions and transverse momentum distributions of the pion. The carefully comparison of our results with the available i) Experimental data (the spacelike elastic form factor and the parton distribution) and ii) Lattice data (generalized form factors for both vector and tensor cases), has shown that a surprisingly nice description can be achieved, despite the relatively simple covariant Ansatz we have adopted.
Such encouraging results motivate the efforts for considering more refined Ansaetze with the aim to improve the phenomenological studies of the non perturbative regime of QCD.