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A dynamical coupled channel approach is used to study $\pi$ and$\omega$--meson production induced by pions and photons scattering from theproton. Six intermediate channels including $\pi N$, $\eta N$, $\pi\Delta$,$\sigma N$, $\rho N$ and $\omega N$ are employed to describe unpolarized andpolarized data. Bare parameters in an effective hadronic Lagrangian aredetermined in a fit to data for $\pi N \to \pi N$, $\gamma N \to \pi N$, $\pi^-p \to \omega n$, and $\gamma p \to \omega p$ reactions at center-of-massenergies from threshold to $W < 2.0$ GeV. The $T$ matrix determined in thesefits is used to calculate the photon beam asymmetry for $\omega$-mesonproduction and the $\omega N \to\omega N$ total cross section and $\omega N$scattering lengths.

Dynamical coupled channel calculation of pion and omega meson production