[Physics] Natural unit conversions within HEP

nuclear-physicsparticle-physicsquantum-field-theorystandard-modelunit conversion

In HEP, with the $$\hbar = c = 1 \;.$$ We have $$\hbar c = 200 \;\mathrm{MeV \cdot fm}$$

1 second is equivalent to $10^{-25}$ GeV. How these relations are used to convert seconds to GeV, GeV to seconds.

Best Answer

In natural units, seconds and gigaelectronvolts (i.e., time and energy) are inversely related. You cannot convert GeV to seconds, but you can convert GeV$^{-1}$ to seconds.

The value of the reduced Planck constant is

$$\hbar=1.055\times 10^{-34}\text{ J}\cdot\text{s}=6.582\times 10^{-25}\text{ GeV}\cdot\text{s}.$$

If you use units where it is $1$, then you are taking

$$1\text{ GeV}^{-1}=6.582\times 10^{-25}\text{ s}.$$

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