Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-01-29
Eur.Phys.J. A16 (2003) 527-535
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 8 figures, discussion of the Isgur and Karl model added, NLO QCD evolution evaluated, references and figures added
Scientific paper
An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario. These off-diagonal distributions are obtained from momentum space wave functions to be evaluated in a given non relativistic or relativized CQM. The general relations linking the twist-two GPDs to the form factors and to the leading twist quark densities are consistently recovered from our expressions. Results for the leading twist, unpolarized GPD, H, in a simple harmonic oscillator model, as well as in the Isgur and Karl model, are shown to have the general behavior found in previous estimates. NLO evolution of the obtained distributions, from the low momentum scale of the model up to the experimental one, is also shown. Further natural applications of the proposed formalism are addressed.
Scopetta Sergio
Vento Vicente
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