Microscopic description of the nucleon-Δ interaction in the quark cluster model

By using a nonrelativistic quark cluster model to describe baryonic systems, we generate a nucleon-{Δ} potential from the elementary interaction between constituents. The basic quark-quark potential used provides, when applied to the nucleon-nucleon system, an adequate description of the scattering phase shifts, the deuteron properties and the nonstrange baryonic spectroscopy. Special attention is paid to the short-range behavior of the interaction and its connection to the quark Pauli principle. This establishes a conceptual difference with meson-exchange models where the interaction, due to the lack of data, is not even well defined.