Support of generalized parton distributions in Bethe-Salpeter models of hadrons

TL;DR

This paper investigates the support properties of generalized parton distributions in relativistic quark models, highlighting conditions for correct support and analyzing support issues in the Bonn model.

Contribution

It demonstrates that proper support is achieved when the vertex function is independent of relative minus-momentum and examines support problems in the Bonn model.

Findings

Proper support requires vertex function independence from minus-momentum

Including quark interactions can cause support problems

Support issues are quantitatively analyzed in the Bonn model

Abstract

The proper support of generalized parton distributions from relativistic constituent quark models with pointlike constituents is studied. The correct support is guaranteed when the vertex function does not depend on the relative minus-momentum. We show that including quark interactions in models with pointlike constituent quarks might lead to a support problem. A computation of the magnitude of the support problem in the Bonn relativistic constituent quark model is presented.