We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system [equaction presented] provided that V (r) has the following behavior at infinity: [equaction presented] where 1/2 ≤ m < 1 and a,V0, are some positive constants. In particular, for any s large we use a reduction method to construct s-bump solutions lying on a circle of radius [equaction presented].
