Eur. Phys. J. A (2004) 19: 77-79
https://doi.org/10.1140/epjad/s2004-03-013-1

Hadronic resonances

Generalized sum rules of the nucleon in the constituent quark model

¹ 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)

Received: 16 October 2003
Published online: 12 February 2004

Abstract

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 [4], 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 [5] 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.