Theoretical Determination of the $ΔNγ$ Electromagnetic Transition Amplitudes in the $Δ(1232)$ Region

Details Theoretical Determination of the $ΔNγ$ Electromagnetic Transition Amplitudes in the $Δ(1232)$ Region Theoretical Determination of the $ΔNγ$ Electromagnetic Transition Amplitudes in the $Δ(1232)$ Region

1999-03-08

arxiv.org/abs/hep-ph/9903290v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages. 1 figure (jpg format)

Scientific paper

We utilize non-perturbative and fully relativistic methods to calculate the\thinspace \thinspace $\Delta N\gamma $ electromagnetic transition amplitudes $G_{M}^{*}(q^{2})$ (related to the magnetic dipole moment $% M_{1^{+}}^{3/2}(q^{2})$), $G_{E}^{*}(q^{2})$ (related to the electric quadrupole moment $E_{1^{+}}^{3/2}(q^{2})$), the electromagnetic ratio $% R_{EM}(q^{2})\equiv -G_{E}^{*}(q^{2})/G_{M}^{*}(q^{2})=E_{1^{+}}^{3/2}(q^{2})/M_{1^{+}}^{3/2}(q^{2} ) $, 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.

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