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

TL;DR

This paper computes the generalized parton distributions of pions and kaons using a covariant quark model, ensuring theoretical constraints are satisfied and analyzing the effects of model parameters.

Contribution

It provides a covariant calculation of meson GPDs that respects key theoretical constraints and explores parameter influences on GPD support.

Findings

Results satisfy form factor and polynomiality constraints.

Isospin symmetry is maintained for pion GPDs.

Model parameters significantly affect GPD support regions.

Abstract

The isoscalar twist-two generalized parton distributions (GPDs) of the pion and the kaon are calculated in a Poincare covariant Bethe-Salpeter constituent quark model. Results are presented for several values of the parameters xi 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.