Unitary model for the $γp \to γπ^0 p$ reaction and the magnetic dipole moment of the $Δ^+(1232)$

Details Unitary model for the $γp \to γπ^0 p$ reaction and the magnetic dipole moment of the $Δ^+(1232)$ Unitary model for the $γp \to γπ^0 p$ reaction and the magnetic dipole moment of the $Δ^+(1232)$

2004-09-07

arxiv.org/abs/hep-ph/0409078v1

Phys.Rev. C71 (2005) 015204

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 18 figures

Scientific paper

10.1103/PhysRevC.71.015204

Radiative pion photoproduction in the $\Delta(1232)$ resonance region is studied with the aim to access the $\Delta^+(1232)$ magnetic dipole moment. We present a unitary model of the $\gamma p \to \gamma \pi N$ ($\pi N = \pi^0 p, \pi^+ n$) reactions, where the $\pi N$ rescattering is included in an on-shell approximation. In this model, the low energy theorem which couples the $\gamma p \to \gamma \pi N$ process in the limit of a soft final photon to the $\gamma p \to \pi N$ process is exactly satisfied. We study the sensitivity of the $\gamma p \to \gamma \pi^0 p$ process at higher values of the final photon energy to the $\Delta^+(1232)$ magnetic dipole moment. We compare our results with existing data and give predictions for forthcoming measurements of angular and energy distributions. It is found that the photon asymmetry and a helicity cross section are particularly sensitive to the $\Delta^+$ magnetic dipole moment.

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