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It is the classic two body versus three body decay. For a two body decay the energy in the center of mass of the two bodies is fixed for the individual decay products, a delta function for the muon, in the above example, within uncertainties. For a three body decay there is a variable spectrum for the energy of the electron. (Analogous in kinematics to ...


6

Yes, it is a statistical average in the sense that the measured half life will approach a single value of a true half life if you do lots of measurements. In other words, if you did the experiment many, many times you would find that on average you had 4 particles left after a half-life had passed. For any individual experiment, the results would vary. ...


8

Half life is, by definition, the amount of time until half of an infinitely large sample would decay. That's precisely equivalent (according to the frequentist interpretation of probability, if that matters to you) to the time until an individual particle's probability of decay reaches one half. The half life is a theoretical quantity that doesn't depend on ...



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