Dynamical coupled channel calculation of pion and omega meson production

A dynamical coupled channel approach is used to study $$\pi$$ and $$\omega$$--meson production induced by pions and photons scattering from the proton. Six-channels are used to fit unpolarized and polarized scattering data including $$\pi N$$, $$\eta N$$, $$\pi\Delta$$, $$\sigma N$$, $$\rho N$$, $$\omega N$$. Bare parameters in an effective hadronic Lagrangian are fixed in $$\chi^2$$-fits to data from $$\pi N \to \pi N$$, $$\gamma N \to \pi N$$, $$\pi^- p \to \omega n$$, and $$\gamma p \to \omega p$$ reactions at center-of-mass energies from threshold to $E < 2.0$ GeV. The $T$ matrix determined in these fits is used to calculate the photon beam asymmetry for $$\omega$$-meson production and the $$\omega N \to \omega N$$ total cross section and scattering lengths.