Neutron and Photon interaction

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apj_anshul
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Talking to the point, I need to know how a free neutron interacts with light (or a photon). Or, if they do not interact, the reason behind it.

The reason why I am asking this question:

Assume that a free neutron is being hit by light. If I assume that light is an EM wave, I can conclude that no interaction if going to occur between light wave and neutron (since neutron has no charge, and it won't interact with light's Electric field).
Now analyze the same situation with particle nature of light. We know that photon has got some momentum, and if it collides with neutron, some momentum is going to get transferred. Hence, this proves that some interaction is going to take place.

I have tried to search around, but couldn't check if photon does actually react with a neutron. Can anyone please tell me which of these two ways for looking at this problem is wrong and why?
 
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A neutron has a magnetic moment. It scatters EM radiation just like a classical magnetic moment. Conservation of momentum holds, but does not cause the interaction.
At higher photon energy (wave length of about 1 fm), quantum mechanics must be used, and particles like mesons can be produced.