Cross Section for {\$}$\backslash $gamma n$\backslash $to$\backslash $pi\textasciicircum 0n{\$} Measured at Mainz

The {\$}$\backslash $gamma n$\backslash $to$\backslash $pi\textasciicircum 0n{\$} differential cross sections were evaluated for 27 energy bins and the full range of pion production angles, making use of model-dependent nuclear corrections to extract {\$}$\backslash $pi\textasciicircum 0{\$} production data on the neutron from measurements on the deuteron target. Additionally, the total photoabsorption cross section was measured. The tagged photon beam produced by the 883-MeV electron beam of the Mainz Microtron MAMI was used for the {\$}$\backslash $pi\textasciicircum 0{\$}-meson production. Our accumulation of {\$}3.6$\backslash $times 10$^{\mathrm{\wedge 6\thinspace }}\backslash $gamma n$\backslash $to$\backslash $pi\textasciicircum 0n{\$} events allowed a detailed study of the reaction dynamics. Our data are in reasonable agreement with previous A2 measurements and extend them to lower energies. The data are compared to predictions of previous SAID, MAID, and BnGa partial-wave analyses and to the latest SAID fit, MA19, that included our data. Selected photon decay amplitudes {\$}N\textasciicircum $\backslash $ast$\backslash $to$\backslash $gamma n{\$} at the resonance poles are determined for the first time.