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Where I can find a table with energy dependent cross sections for neutrons?

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    $\begingroup$ neutron scattering against what? protons? you can start with the particle data book pdg.lbl.gov $\endgroup$ – anna v Apr 3 '14 at 11:11
  • $\begingroup$ This kind of data is most often accumulated in ENDFs, which are intended for computer consumptions, but can be read by a sufficiently persistent human. Many sources. $\endgroup$ – dmckee --- ex-moderator kitten Apr 4 '14 at 0:05
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Neutron-matter interaction cross-sections vary somewhat depending on the material in question, and depends greatly on energy. In addition, the type of neutron-matter interaction that statistically dominates depends on the energy, with elastic collision being the sole contributor to material cross-sections below energies of 4 MeV: enter image description here

If you're talking about elastic scattering, another thing to note is that protons are really good at thermalizing neutrons via elastic interaction, a fact which owes primarily to the fact that neutrons and protons have similar masses. In contrast, scattering by larger atomic nuclei results in less effective thermalization:

enter image description here

A good approximate parametrization of the neutron-hydrogen elastic cross-section in units of barns is given by $$\sigma(E)=\frac{3 \pi }{(0.13 E+0.4223)^2+1.206 E},$$ as shown here:

enter image description here

The slides are taken from Wolf-Udo Schroeder's PHY466 notes at University of Rochester.

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A good place to start is the National Nuclear Data Center's "Sigma" database. The web interface is much improved since the time this question was asked.

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