5. When a muon decays, the angular distribution of the daughter electron is 1 P(cos 0) = (1 + a cos 0), where e is the angle measured relative to the muon spin, and a is a well-defined number. Imagine that you are writing a Monte Carlo model that includes such a decay. Find the quadratic equation that has to be solved to generate appropri- ate values for cos 0, in terms of computer-generated random numbers x that are uniform over the range 0
5. When a muon decays, the angular distribution of the daughter electron is 1 P(cos 0) = (1 + a cos 0), where e is the angle measured relative to the muon spin, and a is a well-defined number. Imagine that you are writing a Monte Carlo model that includes such a decay. Find the quadratic equation that has to be solved to generate appropri- ate values for cos 0, in terms of computer-generated random numbers x that are uniform over the range 0
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Transcribed Image Text:5. When a muon decays, the angular distribution of the daughter electron is
1
P(cos 0) = (1 + a cos 0),
where e is the angle measured relative to the muon spin, and a is a well-defined
number. Imagine that you are writing a Monte Carlo model that includes such a
decay. Find the quadratic equation that has to be solved to generate appropri-
ate values for cos 0, in terms of computer-generated random numbers x that are
uniform over the range 0 <x< 1.
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