Generalized parton distributions of pseudoscalar mesons in a covariant constituent quark model

The isoscalar twist-two generalized parton distributions (GPDs) of the pion and the kaon are calculated in a Poincaré covariant Bethe-Salpeter constituent quark model. Results are presented for several values of the parameters ξ and t. The results satisfy the form factor constraints and the polynomiality condition. For the pion GPD, also the isospin symmetry constraint is fulfilled. The influence of kinematical variables and model parameters on the support of the GPDs is investigated. To this end, the strength parameters and quark masses of the constituent quark model are artificially varied. PACS. 11.10.St Bound and unstable states; Bethe-Salpeter equations – 12.39.Ki Relativistic quark model – 13.60.Fz Elastic and Compton scattering – 14.40.Aq π, K and η mesons