What is the Value of Fermi's Constant (GF) in SI Units?

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In summary, the value of Fermi's constant (GF) in SI units is 4.54376275 x 10^14 J^-2, or 1.16637 x 10^-5 GeV^-2 when normalized by (ħc)^3. To convert to cgs units, you can use Google to convert Joules to ergs. Gf2 is equal to 5.29 x 10^-38 cm^2/GeV^2.
  • #1
randa177
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what is the value of fermi's constant ( GF ) in SI units?
I tried to work it out, but it seems that I'm wrong, I got a value of: 6.5 X 10(41) J(-2)

Does it make sense?
 
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  • #2
Google calculator gives:

[tex]
G_F = 4.54376275 \times 10^{14} J^{-2}
[/tex]

where

[tex]
\frac{G_F}{(\hbar c)^3} = 1.16637 \times 10^{-5} GeV^{-2}
[/tex]

I used the following code in Google:

Code:
1.16637*10^-5 (GeV)^-2 in (Joules)^-2
 
  • #3
so, you mean Gf / (h.bar X c) ^ 3 = 4.5 X 10 (14),,, [ not the Gf itself] right?
 
  • #4
how to get it in cgs units,,, I don't know how to use google to convert the units!
 
  • #5
If you know it in Joules, just convert Joules to ergs.
You can do it in your head if google fails you.
 
  • #6
what is then Gf2=5.29 * 10-38 cm2/GeV2?
 

FAQ: What is the Value of Fermi's Constant (GF) in SI Units?

What is Fermi's Constant (GF) and what does it represent?

Fermi's Constant (GF) is a fundamental physical constant that is used in quantum mechanics to describe the strength of the weak nuclear force. It represents the coupling constant between two particles that interact through the weak force.

What is the value of Fermi's Constant (GF) in SI units?

The value of Fermi's Constant (GF) in SI units is approximately 1.166 x 10^-5 GeV^-2, or 1.166 x 10^-11 m^2 kg^-1 s^-2. This is a very small number, reflecting the extremely weak strength of the weak nuclear force.

How was Fermi's Constant (GF) determined?

Fermi's Constant (GF) was originally determined by Italian physicist Enrico Fermi in the 1930s through his work on beta decay. He observed that the rate of beta decay could be described by a mathematical formula that included GF as a constant. Later, with more precise measurements, the value of GF was refined.

How is Fermi's Constant (GF) used in modern physics?

Fermi's Constant (GF) is used in many calculations in modern physics, particularly in the field of particle physics. It is used to calculate the strength of the weak force and to predict the rate at which certain particle interactions will occur, such as beta decay or neutrino interactions.

Does the value of Fermi's Constant (GF) ever change?

No, the value of Fermi's Constant (GF) is considered to be a fundamental constant of nature and is not expected to change. However, as our understanding of physics evolves, the way in which GF is used in calculations may change, leading to more precise measurements of its value.

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