  In this paper, we investigate the global well-posedness and $H^{1}$
scattering theory for a 3d energy-critical Schr\"odinger equation under the
influence of magnetic dipole interaction
$\lambda_{1}|u|^{2}u+\lambda_{2}(K\ast|u|^{2})u$, where $K$ is the
dipole-dipole interaction kernel. Our proof of global well-posedness result is
based on the argument of Zhang [23]. Moreover, adopting the induction of energy
technique of Killip-Oh-Pocovnicu-Visan [20], we obtain a condition for
scattering.
