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We consider an interaction of a spin-3/2 field with the electromagnetic fieldin the framework of the hard-wall model of AdS/QCD. We write Lagrangian forthis interaction including all kinds interaction terms in the bulk of AdS$_{5}$space and present the scattering matrix element in integrals over the fifthcoordinate. Comparing the current matrix element obtained in the boundary ofthis space with the one known from field theory, we find the vertex functioncoefficients for the $\gamma^{*}\Delta\Delta$ interaction vertex. As anexample, we apply the obtained coefficients to the computation of the chargeform factor $G_{E0}$ for the $\Delta^{+}$ baryon and compare the result withthe one obtained in the field theory.

Electromagnetic interaction vertex of $\Delta$ baryons in hard-wall AdS/QCD model