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In this paper, we study the following nonlinear Schrodinger system in \begin{document}$\mathbb{R}^3$\end{document} \begin{document}$\left\{ \begin{array}{*{35}{l}} {{(\frac{\nabla }{i}-A(y))}^{2}}u+{{\lambda }_{1}}(|y|)u=|u{{|}^{2}}u+\beta |v{{|}^{2}}u,x'>where \begin{document}$A(y)=A(|y|)∈ C^1(\mathbb{R}^3,\mathbb{R})$\end{document} is bounded, \begin{document}$λ_1(|y|),λ_2(|y|)$\end{document} are continuous positive radial potentials, and \begin{document}$β∈ \mathbb{R}$\end{document} is a coupling constant. We proved that if \begin{document}$A(y),λ_1(y),λ_2(y)$\end{document} satisfy some suitable conditions, the above problem has infinitely many non-radial segregated solutions.

Segregated vector Solutions for nonlinear Schrödinger systems with electromagnetic potentials