Crossing symmetry and phenomenological widths in effective Lagrangian models of the pion photoproduction process

We investigate the importance of crossing symmetry in effective field models and the effects of phenomenological nucleon resonance widths on the paradigmatic case of pion photoproduction. We use reaction models containing four star resonances up to 1.8 GeV (Δ(1232), N(1440), N(1520), N(1535), Δ(1620), N(1650), Δ(1700), and N(1720)) with different prescriptions for crossed terms and widths, to fit the latest world database on pion photoproduction. We compare χ2 results from selected multipoles and fits. The χ2 is highly dependent on the fulfillment of crossing symmetry and the inclusion of u channels.