Magnetic dipole moment of the ${\Delta }^{+}$(1232) from the $\gamma p\to \gamma {\pi }^{0}p$ reaction

Abstract

The $\gamma p\to \gamma {\pi }^{0}p$ reaction in the $\Delta (1232)$-resonance region is investigated as a method to access the ${\Delta }^{+}(1232)$ magnetic dipole moment. The calculations are performed within the context of an effective Lagrangian model containing both the $\Delta$-resonant mechanism and a background of non-resonant contributions to the $\gamma p\to \gamma {\pi }^{0}p$ reaction. Results are shown both for existing and forthcoming $\gamma p\to \gamma {\pi }^{0}p$ experiments. In particular, the sensitivity of unpolarized cross sections and photon asymmetries to the ${\Delta }^{+}$ magnetic dipole moment is displayed for those forthcoming data.

Comments: 25 pages, 11 figures