The ANL-Osaka Partial-Wave Amplitudes of $\pi N$ and $\gamma N$ Reactions

The determination of the Argonne National Laboratory-Osaka University (ANL-Osaka) Partial-Wave Amplitudes (PWA) of $\pi N$ and $\gamma N$ Reactions is reviewed. The predicted PWA are presented on a web page (https://www.phy.anl.gov/theory/research/anl-osaka-pwa). The formulas are given for using the predicted PWA to calculate the cross sections of (1) meson-baryon ($MB$) scattering $MB\to M^{\mathrm{\prime }}{B}^{\mathrm{\prime }}$ with $MB, M’B’= \pi N, \eta N, K\Lambda, K\Sigma$,(2)two-pionproduction$\pi N \rightarrow \pi\Delta, \rho N, \sigma N \rightarrow \pi\pi N$,(3)Mesonphotoproduction$\gamma N \rightarrow \pi N, \eta N, K\Lambda, K\Sigma$,(4)Pionelectroproduction$N(e,e’\pi)N$,(5)inclusive$N(e,e’)X$. We also present sample results from our fits to the data.