$γ^* N \rightarrow Δ^{+}(1600)$ transition form factors in light-cone sum rules

The form factors of $γ^* N \rightarrow Δ(1600)$ transition is calculated within the light-cone sum rules assuming that $Δ^+(1600)$ is the first radial excitation of $Δ(1232)$. The $Q^2$ dependence of the magnetic dipole $\tilde{G}_M(Q^2)$, electric quadrupole $\tilde{G}_E(Q^2)$, and Coulomb quadrupole $\tilde{G}_c(Q^2)$ form factors are investigated. Moreover, the $Q^2$ dependence of the ratios $R_{EM} = -\frac{\tilde{G}_E(Q^2)}{\tilde{G}_M{Q^2}}$ and $R_{SM} = - \frac{1}{4 m_{Δ(1600)}^2} \sqrt{4 m_{Δ(1600)}^2 Q^2 + (m_{Δ(1600)}^2 - Q^2 - m_N^2)^2} \frac{\tilde{G}_c(Q^2)}{\tilde{G}_M(Q^2)}$ are studied. Finally, our predictions on $\tilde{G}_M(Q^2)$, $\tilde{G}_E(Q^2)$, and $\tilde{G}_C(Q^2)$ are compared with the results of other theoretical approaches.

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