Support of generalized parton distributions in Bethe-Salpeter models of hadrons
arXiv:0710.2271 · doi:10.1016/j.physletb.2008.03.031
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.
8 pages, 4 figures. v2: specific calculation included, references and figure added. Submitted to Phys. Lett. B