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

TL;DR

This paper reviews the determination of partial-wave amplitudes for $Cpi N$ and $Cgamma N$ reactions, providing formulas, predicted amplitudes, and sample fit results to facilitate cross section calculations in meson-baryon and photoproduction processes.

Contribution

It introduces the ANL-Osaka partial-wave amplitudes for $Cpi N$ and $Cgamma N$ reactions, with formulas and sample results for broad applications.

Findings

Predicted PWA are available online at the specified URL.

Formulas for calculating various meson-baryon and photoproduction cross sections are provided.

Sample fit results demonstrate the applicability of the amplitudes.

Abstract

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 $MB \rightarrow M'B'$ with $MB, M'B'= \pi N, \eta N, K\Lambda, K\Sigma$, (2) two-pion production $\pi N \rightarrow \pi\Delta, \rho N, \sigma N \rightarrow \pi\pi N$, (3) Meson photoproduction $\gamma N \rightarrow \pi N, \eta N, K\Lambda, K\Sigma$, (4) Pion electroproduction $N(e,e'\pi)N$, (5) inclusive $N(e,e')X$. We also present sample results from our fits to the data.