Baryons and a Nucleon–Nucleon potential in a colour–dielectric quark model with plain gluons

The quark model contains many-gluon degrees of freedom in the form of a colour-dielectric field χ and a colour interaction between quarks in the form of gluons without self-interaction (plain gluons). The confinement is due to the coupling of the many-gluon field x to the quark's mass. The quark mass is small inside a quark bag and gets infinitely large outside the bag. This leads to absolute quark confinement. We develop a non-relativistic version of the model and fit the mass and the root-mean-square radius of the nucleon. In addition we calculate an adiabatic nucleon-nucleon potential. It shows a short-range repulsion and an intermediate-range attraction between nucleons and is comparable to a Paris potential.