An Overview of the Hypercentral Constituent Quark Model

Abstract

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.

arXiv comment10 pages, 8 figures, Prepared for ERICE International School of Nuclear Physics, 24th Course, Erice-Sicily: 16-24 September 2002

References in corpus (7)

• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• The Spectrum of the Nucleons and the Strange Hyperons and Chiral Dynamics
• Algebraic models of hadron structure: I. Nonstrange baryons
• The e p -> e' p eta reaction at and above the S11(1535) baryon resonance
• Electromagnetic transition form factors of negative parity nucleon resonances
• A relativistic study of the nucleon form factors

Cited by in corpus (13)

• 50 Years of Quantum Chromodynamics
• Electromagnetic Meson Production in the Nucleon Resonance Region
• Transition form factors of the N*(1535) as a dynamically generated resonance
• Ground-State Masses and Magnetic Moments of Heavy Baryons
• Asymmetric Dark Matter and the hadronic spectra of hidden QCD
• Neural Network Parameterizations of Electromagnetic Nucleon Form Factors
• Study of Excited $\Xi$ Baryons with the PANDA Detector
• Static properties and Semileptonic transitions of lowest-lying double heavy baryons
• Calculation Energy levels and charge radius for odd ${}^{41-49}$Ca Isotopes by using the analytical approach
• Configuration Mixing of Quark States in Baryons
• Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach
• Proton and neutron form factors with quark orbital excitations
• Radiative decay into gamma-baryon of dynamically generated resonances from the vector-baryon interaction