πN→ωNin a coupled-channel approach

Abstract

We describe the $\ensuremath{\pi}\stackrel{\ensuremath{\rightarrow}}{N}\ensuremath{\omega}N$ cross section from threshold to a center-of-mass energy of 2 GeV in a unitary coupled-channel model and analyze it in terms of rescattering and resonance excitations. The amplitude is mainly composed of ${D}_{13},$ ${P}_{13},$ and ${P}_{11}$ contributions, where the ${D}_{13}$ dominates over the complete considered energy range. We also outline the generalization of the standard partial-wave formalism necessary for the decomposition of the $\ensuremath{\omega}N$ final state.