muons!. what are we going to talk about? how muons are created detecting methods muon half life and...
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![Page 1: MUONS!. What are we going to talk about? How muons are created Detecting methods Muon half life and decay rate Muon decay data Problems with the data](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfc01a28abf838ca3ec0/html5/thumbnails/1.jpg)
MUONS!
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What are we going to talk about?
• How muons are created• Detecting methods• Muon half life and decay rate• Muon decay data• Problems with the data and muons
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How muons are created.
• Protons from the cosmic rays interact with the atoms in the upper atmosphere and create a shower of particles which decay further to produce muons.
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Feynman diagrams
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Detecting methods
Muon Enters
A flash is emitted
Decays into an electron
The scintillator detects the electron and emits
a flash
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Muon Half Life and Decay Rate.
dN-Change in muons N(t)-Number of muons at given time.
λ-Decay rate dt-change in time
= = hence t= t=0 => No= Our = 0.388 N(t)=No Meaning that half life= 2.6
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Muon decay data
1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 140000
50
100
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f(x) = 296.890266235369 exp( − 0.388234452776655 x )
Events
Exponential (Events)
Time/ Nanoseconds
Eve
nts
per
ms
Rate of Muon Decay (T)
01/07/2014 – 02/07/2014
1000 2000 3000 4000 5000 6000 7000 8000 90000
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100
150
200
250
f(x) = 341.212283954139 exp( − 0.408590390039453 x )
Events
Exponential (Events)
Time/ Nanoseconds
Eve
nts
per
ms
02/07/2014 – 03/07/2014
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03/07/2014 – 04/07/2014
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Problems with the data
• Systematic errors:• The PMT cable was faulty which fluctuated the results
giving inaccurate results as it affected the rate of decay.• Affecting flux rate.
“11’o’clock drop”
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How many muons pass through you everyday?
When the person is standing up:• 0.155*(6719073/24)*16=515129 (±0.5)
• When the person is lying down:
0.885*(6719073/24)*8=1982127 (±0.5)
Shoulder: 0.115m2
0.5m
0.23m
Standing: 0.885m2
0.5m
0.177m
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How many interact with you
Muons decayed in detector
Total muons through detectorMuons passed
through your body
= 3946
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Problems with muons
• They have a half life of 2.2µ yet they can still travel 660m.
• This is due to time dilation, as muons travel 98% the speed of light.
• Therefore, time slows down.
𝛾=1
√¿¿¿5.03 (±0.05 )