Theoretical Determination of the $\Delta N\gamma$ Electromagnetic Transition Amplitudes in the $\Delta (1232)$ Region

Abstract

We utilize non-perturbative and fully relativistic methods to calculate the\thinspace \thinspace $\Delta N\gamma$ electromagnetic transition amplitudes $G_M^{\ast }(q^2)$ (related to the magnetic dipole moment ), $G_E^{\ast }(q^2)$ (related to the electric quadrupole moment $E_{1^{+}}^{3/2}(q^2)$), the electromagnetic ratio , and discuss their $q^2$ behavior in the $\Delta (1232)$ mass region. These are very important quantities which arise in all viable quark, QCD, or perturbative QCD models of pion electroproduction and photoproduction.

Comments: 7 pages. 1 figure (jpg format)