${\gamma }^{*}N\to {\Delta }^{+}\left(1600\right)$ transition form factors in light-cone sum rules

The form factors of ${\gamma }^{*}N\to \Delta \left(1600\right)$ transition is calculated within the light-cone sum rules assuming that ${\Delta }^{+}\left(1600\right)$ is the first radial excitation of $\Delta \left(1232\right)$. The ${Q}^{2}$ dependence of the magnetic dipole ${\stackrel{˜}{G}}_{M}\left({Q}^{2}\right)$, electric quadrupole ${\stackrel{˜}{G}}_{E}\left({Q}^{2}\right)$, and Coulomb quadrupole ${\stackrel{˜}{G}}_{c}\left({Q}^{2}\right)$ form factors are investigated. Moreover, the ${Q}^{2}$ dependence of the ratios ${R}_{\mathrm{EM}}=-\frac{{\stackrel{˜}{G}}_{E}\left({Q}^{2}\right)}{{\stackrel{˜}{G}}_{M}\left({Q}^{2}\right)}$ and ${R}_{\mathrm{SM}}=-\frac{1}{4{m}_{\Delta \left(1600\right)}^{2}}\sqrt{4{m}_{\Delta \left(1600\right)}^{2}{Q}^{2}+\left({m}_{\Delta \left(1600\right)}^{2}-{Q}^{2}-{m}_{N}^{2}{\right)}^{2}}\frac{{\stackrel{˜}{G}}_{c}\left({Q}^{2}\right)}{{\stackrel{˜}{G}}_{M}\left({Q}^{2}\right)}$ are studied. Finally, our predictions on ${\stackrel{˜}{G}}_{M}\left({Q}^{2}\right)$, ${\stackrel{˜}{G}}_{E}\left({Q}^{2}\right)$, and ${\stackrel{˜}{G}}_{C}\left({Q}^{2}\right)$ are compared with the results of other theoretical approaches.