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atoms and e e background branching ratio calculated Carlo generated e e Carlo generated pi-mu Chapter l0 charged particles closest approach collimators compared to Monte Coulomb counter banks counter hits data and Monte decay modes decay point decay rate decay volume delta rays detected detector downstream e e pairs electromagnetic event reconstruction event reconstruction routine Fermilab final sample FRAC fraction GeV/c histogram hit counters invariant mass KAON kinematic Largest side view measured Meson MeV/c momenta Monte Carlo simulation muon counter MWPC MWPC's non-foil events number of events pair production Particle Data Group particle's Pcnv photon transverse momentum photons Physical Review pi-mu atom candidates pi-mu atoms pion and muon planes positron radiation lengths sample of e e scintillation counter separation of tracks shown in Figure side view track spectrometer systematic error target total number transverse momentum spectrum trident upstream vertex weak interaction