Simply:
Discriminator circuits remove pulses out of their window.
For instance, if you have your low level discriminator set to 2V, no pulse with an amplitude of less than 2V will be in the output.
If you have a high level discriminator set to, say, 6V, then no pulse with a height greater than 6V will be in the output.
LLD are almost always used to filter out circuit noise. In specialty instances, such as discriminating for a single isotope, you would calibrate the setup, then set the window to be just around the isotopes most clear peak.
For neutron detection, like in a fission chamber, your discriminator would have the LLD set to some 10s of MeV, so that only the high energy of a fission would give a pulse. But you would not use that with a MCA, since the energy of the fission products is immaterial.
It is vaguely possible to envision a proportional counter with some array of (n,γ) reaction with preference for different neutron energy ranges. But Dr. Usman (who is our Radiation Measurement expert) says being able to make a neutron spectroscopy device is a million dollar invention.