Inelastic photon scattering and the magnetic moment of the $\mathrm{\Delta }$ (1232) resonance

The reaction $\gamma +p\to {\gamma }^{\mathrm{\prime }}+p+{\pi }^0$ has been suggested as a means to deduce the ${\mathrm{\Delta }}^{+}$ magnetic moment. The cross section for this process is estimated in both the constituent quark model and an effective Lagrangian procedure. The resulting total cross section is of the order 5-10 nb, which is at the limit of present experimental capabilities.