Studying the Sivers function by model calculations

Abstract

A formalism is presented to evaluate the Sivers function in constituent quark models. A non-relativistic reduction of the scheme is performed and applied to the Isgur-Karl model. The sign for the $u$ and $d$ flavor contributions that we obtained turns out to be opposite. The Burkardt Sum Rule is fulfilled to a large extent. After the estimate of the QCD evolution of the results from the momentum scale of the model to the experimental one, a reasonable agreement with the available data is obtained.

To appear in the proceedings of Diffraction 2008: International Workshop On Diffraction In High Energy Physics, 9-14 Sep 2008, La Londe-les-Maures, France. Misprints corrected, reference added