Helicity-dependent generalized parton distributions and composite constituent quarks
arXiv:hep-ph/0410191 · doi:10.1103/PhysRevD.71.014014
Abstract
An approach, recently proposed to calculate the nucleon generalized parton distributions (GPDs) in a constituent quark model (CQM) scenario, in which the constituent quarks are taken as complex systems, is used to obtain helicity-dependent GPDs. They are obtained from the wave functions of the non relativistic CQM of Isgur and Karl, convoluted with the helicity-dependent GPDs of the constituent quarks themselves. The latter are modelled by using the polarized structure functions of the constituent quark, the double distribution representation of GPDs, and a phenomenological constituent quark form factor. The present approach permits to access a kinematical range corresponding to both the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi and the Efremov-Radyushkin-Brodsky-Lepage regions, for small values of the momentum transfer and of the skewedness parameter. In this kinematical region, the present calculation represents a prerequisite for the evaluation of cross sections relevant to deeply virtual Compton scattering. In particular, we have calculated the leading twist helicity-dependent GPD \tilde H and, from our expressions, its general relations with the non relativistic definition of the axial form factor and with the leading twist polarized quark density are consistently recovered.
49 pages, discussion enlarged, a figure added, references added, results unchanged. Final version to appear in Phys. Rev. D
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- Generalized parton distributions of hadrons with composite constituents