In an idealized world, this is true. Is the instrumentation conforming to an ideal setup? Probably not yet.All the "rubbish" unwanted photons emanating from the material around the source source cannot get back to the detector.
There's a lot of stuff, perhaps rubbish, perhaps resultants of Mark's signal processing or sampling. This is not meant as a criticism, there's usually a consequence to what ever choices we make in processing. Nonetheless, is seems there's still a lot of junk in the output. Going to be hard to do quantifiable spectral analysis with the existing data. Qualitative might not be easy either. Mark is definitely out front of us, actually trying things and trying to make improvements, I know I feel like I am on the outskirts looking in.
The question I have, is this the best we can do? Or a more pointed question, what can be done to improve the spectral data collection? Is this a limitation of the jitter due to the triggering, which might cause smearing, or is there something else that is more fundamental?
Why are the apparent count rates so much lower than expected? Are our thresholds too high? Something else? Feeble/old/not up to specification sources could be one reason. I'd think that conjecture could be tested somehow. Any other things that might account for the low count rates?
If I understand correctly the photons are scattered spherically? But we only get the photons that are contained within the solid angle in our direction? And we have a probability, depending on the energy of the photon, of the detector even seeing that photon? I believe this is what you were calculating earlier. Just checking if I have grasped the basic ideas, not the totality of the solution just yet.