Effect of a neutron current

[claforet]

In classical mechanics, the flow of electrons through a wire will cause iron filings to align in the direction of the magnetic field which is perpendicular to the flow of the current. Just out of curiosity, has there ever been a similar experiment such that neutrons are fired at high speeds (comparable to electron speeds) down an axis to see if there is any comparable effect? I know the neutron is chargeless so it shouldn't cause any induction, but I'm curious to know if any such experiment has been undertaken.

 

Thanks.