Baryon Properties with Three-Quark Forces

Abstract

The Constituent Quark Model (CQM) is very useful for the description of many baryon properties, leading to a fair agreement with the experimental data, especially in the case of the baryon spectrum ¹⁾ and of the electromagnetic processes involving baryons^2,3). The model is based on a non relativistic QCD-inspired dynamics, which includes a confinement potential and a spin-dependent short-range part, the so called hyperfine interaction^4,1). The confinement potential contains as its major part a harmonic oscillator (h.o.) interaction, which has however a too degenerate spectrum with respect to the experimental one and leads to an unreasonable damping of the form factors even at moderate momentum transfers. Nevertheless, the h.o. potential is commonly used because it provides a simple basis and allows an analytical evaluation of practically all the quantities of interest.