Interaction between two baryons and the six 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 by π, σ, ϱ and ω-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] r symmetry plays an important role which is even enlarged by the colour magnetic interaction. The [42] r symmetry 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] r symmetry is also admixed. We show that for meson exchanges which mediate the long range behaviour we can now use the SU 3 flavour ratios of the meson-nucleon coupling constants even for the ω-nucleon coupling. For the ω-meson one had to use in the OBEP's an ω-N coupling constant twice to three times as large as predicted by SU 3 flavour to describe the short range repulsion. We also calculated the nucleon-hyperon interaction and describe the NΛ-scattering in agreement with the data. The model is also applied to study the EMC effect.