Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
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We present a theoretical study of the radiative pion photoproduction on the nucleon ($γN \to πN γ'$) in the $\De$-resonance region, with the aim to determine the magnetic dipole moment (MDM) of the $Δ^+(1232)$. The study is done within the framework of chiral effective-field theory where the expansion is performed (to next-to-leading order) in the $δ$ power-counting scheme which is an extension of chiral perturbation theory to the $Δ$-resonance energy region. We present the results for the absorptive part of the $Δ$ MDM, as well as perform a sensitivity study of the dependence of $γN \to πN γ'$ observables on the real part of the $Δ$ MDM. We find that an asymmetry for circular polarization of the photon beam may provide a model-independent way to measure the $Δ$ MDM.
32 pages, 14 figs
32 pages, 14 figs