Doesn't time slow down for objects as they move closer to the speed of light? Could the fact that the neutrons are being put into a beam (in motion) account for the observed longer decay period? To the neutron, it would be decaying in normal time, at a normal rate To the observer of the neutron it would appear to be decaying slower... Maybe
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Yes, your statement is correct and your guess is a very nice attempt. However, it does not apply here as our neutrons are not accelerated to speeds close to the speed of light at all. :)