- #1
martinhiggs
- 24
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Homework Statement
I have to find the Fermi Coupling Constant using my measurement of the muon lifetime. My measurement is 2.1786x10^-6s
Homework Equations
[tex]G_F=\sqrt{\frac{192.pi^{3}}{\tau.m_{\mu}}}[/tex]
The Attempt at a Solution
I tried plugging in the numbers that I have and I get ~495,000ish which obviously cannot be right as the value of the Fermi Coupling Constant is:
1.166 37x10-5 GeV-2
I used lifetime as 0.0000021786s
Mass of the muon as 0.105GeV
I think I have to put in factors of hbar and c somewhere, or change units or something, but it's driving me crazy and I can't figure it out!