Generalized sum rules of the nucleon in the constituent quark model
Universit a di Genova, Sezione INFN di Genova, via Dodecaneso 33, 16142 Genova (Italy)
2 Institut für Kernphysik, Universität Mainz, Staudingerweg 45, 55099 Mainz (Germany)
Published online: 12 February 2004
The sum rules serve a powerful tool to study the nucleon structure by providing a bridge between the statical properties of the nucleon (such as electrical charge, and magnetic moment) and the dynamical properties (e.g. the transition amplitudes to excited states) in a wide range of energy and momentum transfer Q 2. We study the generalized sum rules of the nucleon in the framework of the constituent quark model. We use two different CQM, the one with the hypercentral potential [1,2,3], and with the harmonic oscillator potential , both with only few parameters fixed to the baryonic spectrum. We confront our results to the model independent sum rules and to the predictions of the phenomenological MAID  model and find that in all the cases considered, in the intermediate Q 2 range (0.2-1.5 GeV2), both CQM models provide a good description of the sum rules on the neutron.
PACS: codes. – 12.39.Jh - Nonrelativistic quark model / codes. – 14.20.Gk - Baryon resonances and helicity amplitudes
© Società Italiana di Fisica, Springer-Verlag, 2004