Alexander Camargo said:
I can calculate the sigma of this material.
Based on the detector (gamma ray spectrometer?) response?
Alexander Camargo said:
When a neutron source interacts with any material, there are reactions that produce photons, namely photons from inelastic reactions and photons from capture reactions.
True. A neutron scattering off a nucleus (of mass A) may excite an internal state from which a characteristic photon is emitted; the neutron loses some energy to the nuclear excitation and some to the exchange of energy/momentum in the collision by which the nucleus is displaced/recoiled. The neutron with less energy is scattered; high energy neutrons tend to scatter forward (small angle neutron scattering (SANS)). The gamma emissions are characteristic of nucleus of atomic number Z and mass A.
One might also encounter a (n,n') reaction in which the neutron is absorbed and then another neutron is emitted.
https://en.wikipedia.org/wiki/Small-angle_neutron_scattering
https://www.ncnr.nist.gov/programs/sans/pdf/sans_theory.pdf
https://en.wikipedia.org/wiki/Neutron_scattering#Inelastic_neutron_scattering
https://neutrons.ornl.gov/sites/default/files/intro_to_neutron_scattering.pdf
https://www.ncnr.nist.gov/summerschool/ss09/pdf/Lecture_6_Inelastic.pdf
https://www.ansto.gov.au/sites/default/files/news-documents/acs018530.pdf
https://www.oxfordneutronschool.org/2024/Lectures/Garcia Sakai - INS.pdf
The displaced atom will likely be ionized and/or excited, so it would produce some X-rays
Regarding capture, if photons are produced from the reaction, that is known as radiative capture, but unlike inelastic scattering, the internal nuclear energy levels of the excited nucleus are different from the original atom (the difference attributed to A+1(after capture) to A (before capture), with Z unchanged. However, one might obtain a 'spallation' reaction in which proton, deuteron or other nuclear fragment, e.g., alpha particle, are emitted, with some gammas and X-rays involved as well. If a proton is ejected upon neutron capture, then Z decreases by 1 to Z-1, but A remains the approximately the same. Any photons emitted would be different for the Z-1 nucleus than the Z nucleus.
If one is using Monte Carlo code, e.g., MCNP or OpenMC, one is inputting microscopic cross-section(s) from a library, e.g., ENDF/B, so a simulation might help one confirm a set of cross-sections through comparing detector results with those of the simulation calcuations.
I am more familiar with neutron radiography and activation than scattering analysis techniques, but I am working toward the latter.