No quantitative information, but neutrons show a magnetic dipole, and magnetic dipol-dipol interaction is a quite normal process. BTW: The electric dipol moment of the neutron is not proved.
The neutron has a magnetic moment because it is a composite particle whose quark constituents have electric charge and are moving around inside the neutron, giving an orbital contribution to the neutron magnetic moment, plus the constituents themselves have intrinsic magnetic moments which also contribute to the overall magnetic moment of the neutron.
In general, the neutron should have an EDM because the Standard Model is not invariant under CP symmetry. Experimentally it has not been observed which means that a particular source of CP violation allowed in the Standard Model is at least a billion times smaller than expected. It's one of the big mysteries of particle physics and it is called the "Strong CP Problem".
http://en.wikipedia.org/wiki/Strong_CP_problem
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