An Overview of the Hypercentral Constituent Quark Model

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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10 pages, 8 figures, Prepared for ERICE International School of Nuclear Physics, 24th Course, Erice-Sicily: 16-24 September 20

Scientific paper

10.1016/S0146-6410(03)00019-X

We report on the recent results of the hypercentral Constituent Quark Model (hCQM). The model contains a spin independent three-quark interaction which is inspired by Lattice QCD calculations and reproduces the average energy values of the SU(6) multiplets. The splittings are obtained with a SU(6)-breaking interaction, which can include also an isospin dependent term. The model has been used for predictions concerning the electromagnetic transition form factors giving a good description of the medium $Q^2$-behaviour. In particular the calculated helicity amplitude $A_{{1/2}}$ for the $S_{11}(1535)$ resonance agrees very well with the recent CLAS data. Furthermore, we have shown for the first time that the decreasing of the ratio of the elastic form factors of the proton is due to relativistic effects. Finally, the elastic nucleon form factors have been calculated using a relativistic version of the hCQM and a relativistic quark current.

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