Hypercentral constituent quark model and isospin dependence

Details Hypercentral constituent quark model and isospin dependence Hypercentral constituent quark model and isospin dependence

2001-11-27

arxiv.org/abs/nucl-th/0111073v1

Eur.Phys.J. A12 (2001) 447-452

Physics

Nuclear Physics

Nuclear Theory

12 pages, 2 figures, accepted by Eur. Phys. J. A

Scientific paper

The constituent quark model based on a hypercentral approach takes into account three-body force effects and standard two-body potential contributions. The quark potential contains a hypercentral interaction, to which a hyperfine term is added. While the hypercentral potential supplies good values for the centroid energies of the resonance multiplets and a realistic set of quark wave functions, the hyperfine splittings are sometimes not sufficient to account for the observed masses. In this work we have introduced an improved form of the hyperfine interaction and an isospin dependent quark potential. The resulting description of the baryon spectrum is very good, also for the Roper resonance, specially thanks to the flavour dependent interaction.

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