Muon Decay Constant: Find Mean Lifetime & Lambda

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The discussion centers on finding the decay constant (lambda) for muons, which is the reciprocal of the mean lifetime, approximately 2 microseconds. The relationship between decay constant and half-life is confirmed, with the formula λ = ln(2)/t1/2 provided. There is a clarification that both positively and negatively charged muons have the same lifetime, which is essential for verifying CPT invariance. Additionally, the original poster seeks data on muon flux at various altitudes, specifically the number of muons per square meter per second at 5000 meters and at ground level. The conversation emphasizes the need for straightforward data rather than complex equations.
RK1992
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muon decay constant/ muon flux

where can i find the decay constant of a muon (the lambda which appears in):
[URL]http://upload.wikimedia.org/math/3/f/2/3f28b1c0d4362b86a89f976d83d81070.png[/URL]

thanks

edit:
oh the wiki page http://en.wikipedia.org/wiki/Exponential_decay
gives the relationship that the decay constant is the reciprocal of the mean lifetime
is that correct?
 
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Typically you will find the half-life tabulated, which for the muon is about 2 microseconds. As the Wikipedia article you cited states, the decay constant is related to the half-life as follows:
\lambda = \frac{ln(2)}{t_{1/2}}
 
Bob seems to be suggesting that positively and negatively charged muons have different lifetimes. This is not the case.
 
Vanadium 50 said:
Bob seems to be suggesting that positively and negatively charged muons have different lifetimes. This is not the case.
i can see that the ratio is almost 1:1 for the mean lifetimes :)

but my other question is where on Earth are you supposed to obtain simple data on muon flux at different altitudes - like at the height where they are generally created and at ground level? I am not looking for partial differential equations and all that, just for example the number of muons through a metre sqaured area per second at a height of 5000m and the number of muons through a metre squared per second at ground level
 
Last edited:
Vanadium 50 said:
Bob seems to be suggesting that positively and negatively charged muons have different lifetimes. This is not the case.
The measurement of both positive and negative charged muon lifetimes is an important test to verify that they are equal, as required by CPT invariance. See second table on page 2 of

http://pdg.lbl.gov/2004/listings/s004.pdf

Bob S
 
Bob S said:
The measurement of both positive and negative charged muon lifetimes is an important test to verify that they are equal, as required by CPT invariance.

True, but irrelevant to what the OP asked. Please don't sidetrack the thread.
 

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