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For a nonlinear Schr\"odinger system with mass critical exponent, we provethe existence and orbital stability of standing-wave solutions obtained asminimizers of the underlying energy functional restricted to a double massconstraint. In addition, we discuss the concentration of a sequence ofminimizers as their masses approach to certain critical masses.

Orbital stability and concentration of standing waves to nonlinear Schr\"odinger systems with mass critical exponent