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Muon Decay Experiment. Levi Neukirch UNL CROP Saturday Oct. 14, 2006. Muons. Muons are unstable leptons Average lifetime t ave = 2.20 µs * µ - e - + ν e + ν µ. ¯. * Introduction to Nuclear Physics. Kenneth Krane. Wiley & Sons. 1988. Experimental Goal. Measure muon lifetime
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Muon Decay Experiment Levi Neukirch UNL CROP Saturday Oct. 14, 2006
Muons • Muons are unstable leptons • Average lifetime tave = 2.20 µs* • µ- e- +νe + νµ ¯ * Introduction to Nuclear Physics. Kenneth Krane. Wiley & Sons. 1988 Muon Decay Experiment
Experimental Goal • Measure muon lifetime • Build a thick detector • Write Labview software to detect muon decay signatures • Analyze data and calculate average muon lifetime Muon Decay Experiment
Apparatus • 4” thick scintillator plate • Trigger detector • Veto detector Muon Decay Experiment
Apparatus • Why this setup? _ Remember: µ- e- + νe + νµ µ- Signal on Ch. 1 e- 1st Signal on Ch. 2 No Signal on Ch. 3 2nd Signal on Ch. 2 Muon Decay Experiment
Apparatus Muon Decay Experiment
Software • Labview code • Data collection • Data analysis • Dedicated to muon decay analysis Muon Decay Experiment
Software: Collection • Sets coincidence criteria • Writes data to .txt file Muon Decay Experiment
Software: Analysis • Reads .txt files • Computes lifetimes • Writes .xls (MS Excel) histogram file • Displays decay time histogram Muon Decay Experiment
Software Muon Decay Experiment
Data Analysis • A = A0exp[-λt] (1) • t1/2 = ln(2)/λ (2) • tave = t1/2 / ln(2) = ln(2)/λ/ln(2) (3) • tave = 1/λ (4) Muon Decay Experiment
Data Analysis 2857 Events Numerical mean = 2.125 µs Muon Decay Experiment
Data Analysis A = A0exp[-λt] (1) λ = 0.00046 s-1 Muon Decay Experiment
Data Analysis • t1/2 = ln(2)/λ • tave = t1/2 / ln(2) tave = [ln(2)/0.00046 s-1]/ln2 = 1/0.00046 s-1 tave = 2.174 µs Muon Decay Experiment
Data Analysis • (2.174µs - 2.20µs)/(2.20µs) = 1.2% difference Muon Decay Experiment
Acknowledgements Thanks to: Prof. Dan Claes Prof. Greg Snow Prof. Herman Batelaan Jason Keller Muon Decay Experiment