Atomic energy levels are quantized.
For a scattered electron to leave an atom in an excited state, then it must have given up a particular amount of energy. You want to know if some electron energies are particularly likely to leave an atom in an excited state.
You want to investigate electron scattering spectra.
Note: photons are absorbed by the atom - leaving it in an excited state.
If an electron were absorbed into the atom, it would have to enter a particular orbital - incedentally turning your atom into an ion.
In that context, your question is asking if some incoming electron energies are particularly likely to get the electron captured.
This would come under electron absorption spectra.