Threshold ${\pi }^0$ photoproduction in relativistic chiral perturbation theory

Abstract

We present a calculation of ${\pi }^0$ photoproduction on the proton in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including chiral order $q^4$. With the results we analyze the latest ${\pi }^0$ photoproduction data in the threshold region obtained at the Mainz Microtron. In the calculation of observables and the fit of the low-energy constants, we take $S$, $P$, and $D$ waves into account. We compare the results for the multipoles with the corresponding single-energy analysis. Furthermore, we also fit the $O(q^4)$ heavy-baryon chiral perturbation theory calculation and compare both results. We provide predictions for several polarization observables for future experiments. Finally, we discuss the $\beta$ parameter of the unitarity cusp which is related to the breaking of isospin symmetry.

21 pages, 9 figures

References in corpus (2)

• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Low-Energy D-Wave Effects in Neutral Pion Photoproduction

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