Upload
hollis
View
39
Download
4
Embed Size (px)
DESCRIPTION
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 - PowerPoint PPT Presentation
Citation preview
Muon Decay Muon Decay ExperimentExperimentLevi NeukirchLevi NeukirchUNL CROPUNL CROPSaturday Oct. 14, 2006Saturday Oct. 14, 2006
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 22
MuonsMuons Muons are unstable leptonsMuons are unstable leptons
Average lifetime tAverage lifetime taveave = 2.20 µs = 2.20 µs**
µµ-- e e- - ++ νν ee + + ννµµ¯̄
* * Introduction to Nuclear Physics. Introduction to Nuclear Physics. Kenneth Krane. Wiley & Sons. 1988Kenneth Krane. Wiley & Sons. 1988
ee-- µµ-- ττ--
ννee ννµµ ννττ
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 33
Experimental GoalExperimental Goal Measure muon lifetimeMeasure muon lifetime
– Build a thick detectorBuild a thick detector– Write Labview software to detect muon Write Labview software to detect muon
decay signaturesdecay signatures– Analyze data and calculate average muon Analyze data and calculate average muon
lifetimelifetime
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 44
ApparatusApparatus 4” thick scintillator 4” thick scintillator
plateplate
Trigger detectorTrigger detector Veto detectorVeto detector
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 55
ApparatusApparatus Why this setup?Why this setup?
µ-
e-
Signal on Ch. 1Signal on Ch. 1
11stst Signal on Ch. 2 Signal on Ch. 2
22ndnd Signal on Ch. 2 Signal on Ch. 2
Remember: µRemember: µ-- e e-- + + ννee + + ννµµ __
No Signal on Ch. 3No Signal on Ch. 3
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 66
ApparatusApparatus
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 77
SoftwareSoftware Labview codeLabview code
– Data collectionData collection– Data analysisData analysis
Dedicated to muon decay analysisDedicated to muon decay analysis
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 88
Software: CollectionSoftware: Collection Sets coincidence criteriaSets coincidence criteria Writes data to .txt fileWrites data to .txt file
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 99
Software: AnalysisSoftware: Analysis Reads .txt filesReads .txt files Computes lifetimesComputes lifetimes Writes .xls (MS Excel) histogram fileWrites .xls (MS Excel) histogram file Displays decay time histogramDisplays decay time histogram
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1010
SoftwareSoftware
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1111
Data AnalysisData Analysis
A = AA = A00exp[-λt] exp[-λt] (1)(1)
tt1/21/2 = ln(2)/λ = ln(2)/λ (2)(2)
ttaveave = t = t1/21/2 / ln(2) = ln(2)/λ/ln(2) / ln(2) = ln(2)/λ/ln(2) (3)(3)
ttave ave = 1/λ= 1/λ (4)(4)
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1212
Data AnalysisData Analysis
2000 4000 6000 8000 100000
5
10
15
20
25
30
35
40
45
50
55Run 5 Decay Histogram
# of
Eve
nts
Decay Time (ns)
2857 Events2857 Events
Numerical mean =Numerical mean =
2.125 2.125 µµss
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1313
Data AnalysisData Analysis
A = AA = A00exp[-λt]exp[-λt] (1)(1)
λλ = 0.00046 s = 0.00046 s-1-1
0 2000 4000 6000 8000 100000
500
1000
1500
2000
2500
3000
y=A*exp[R0*t]
Decay Character
Data: Data1_EModel: ExponentialChi^2 = 368.2092y0 0 ±0A 2855.18416 ±4.11335R0 -0.00046 ±9.4533E-7
Par
ticle
s R
emai
ning
Elapsed Time (ns)
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1414
Data AnalysisData Analysis
tt1/21/2 = ln(2)/λ = ln(2)/λ ttaveave = t = t1/21/2 / ln(2) / ln(2)
ttaveave = [ln(2)/0.00046 s = [ln(2)/0.00046 s-1-1]/ln2]/ln2
= 1/0.00046 s= 1/0.00046 s-1-1
ttave ave = 2.174 = 2.174 µµss
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1515
Data AnalysisData Analysis (2.174(2.174µs - µs - 2.202.20µs)/(2.2µs)/(2.200µs) =µs) =
1.2% difference1.2% difference
RunRun # of Events# of Events ttaveave % Error% Error
11 17801780 2.176 2.176 µsµs 1.1 %1.1 %
22 22892289 2.130 2.130 µsµs 3.2 %3.2 %
33 28572857 2.174 2.174 µsµs 1.2 %1.2 %
Oct. 14, 2006Oct. 14, 2006 Muon Decay ExperimentMuon Decay Experiment 1616
AcknowledgementsAcknowledgementsThanks to:Thanks to:
Prof. Dan ClaesProf. Dan Claes Prof. Greg SnowProf. Greg Snow Prof. Herman BatelaanProf. Herman Batelaan Jason KellerJason Keller