QCD description of the nucleon with semi-classical ansatz

The equations of motion of QCD are solved for the nucleon using a static semi-classical ansatz for the gluon field. The profile function for the magnetic color field satisfies a non-linear second-order differential equation, which admits vacuum solutions of order 1/g, where g is the strong coupling constant. These vacua can be connected by the quark-gluon interaction, so that the baryon emerges as a color-magnetic quantum soliton. Properties of the nucleon, and of the quarks and the gluon fields in the nucleon, are discussed for two values of the strong coupling constant