The Baryon-Baryon Interaction and the Quark Model

Abstract

The ³S,¹S and P wave phase shifts of the nucleon-nucleon interaction are calculated in the six quark model using the resonating group method. For large distances the model is supplemented byπ, σ, ρ and $\omega$-meson exchange. The role of the orbital [42]r symmetry for the short range repulsion is studied. It is shown that at short distances the orbital [42]_rsymmetry plays an important role which is even enlarged by the colour magnetic interaction. The [42]_rsymmetry enforces the short range repulsion by a node which it requests at short distances. The mechanism is complicated by the fact, that the orbital [6]_rsymmetry is admixed by about the same weight. We show that for meson exchanges which mediate the long range behaviour we can now use the SU₃flavour ratios of the meson-nucleon coupling constants even for the $\omega$-nucleon coupling. For the $\omega$-meson one had to use in the OBEP’s $\omega$-N coupling constant twice to three times as large as predicted by SU₃flavour to describe the short range repulsion. We also calculated the nucleon-hyperon interaction and describe the NΛ-scattering in agreement with the data.