|Message: Re: Electron beam from muon decay||Not Logged In (login)|
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For comparison, I set up a quick simulation with a zero-emittance mu+ beam at 200 MeV/c momentum, traveling 400 meters to a detector with a radius of 10 meters. For an initial beam of 1000 mu+, that detector saw: 714 mu+, 22 anti_nu_mu, 21 nu_e, and 16 e+. Only 4 of the e+ are within 1 meter of the centerline, and only 1 is within 20 cm. From my experience simulating such beams, I think this is quite reasonable.
A "good" way to create an electron beam would be to use an electron gun. Another feature of beams is they are usually contained in beam lines, which provide transverse focusing to prevent the beam from expanding to outrageously large diameters (which this certainly does). Muon decays in free space is one of the most indirect and inefficient ways to create an electron beam that I can think of.
FYI: I spent more time typing this up than I spent setting up the simulation, running it, and histogramming the particles in the detector. The tool I used is G4beamine, which is particularly good at this sort of quick test: http://g4beamline.muonsinc.com
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