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On the Euclidean space, this equation possesses equilibria which are not localized. We show their stability through a scattering result, with respect to localized perturbations in the not too focusing case in high dimensions d >= 4. This provides an analogue of the results of Lewin and Sabin [22], and of Chen, Hong and Pavlovic [11] for the Hartree equation on operators. The proof relies on dispersive techniques used for the study of scattering for the nonlinear Schrodinger and Gross-Pitaevskii equations. 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