Definitions

Physical Constants

Quantity Symbol Value
Speed of light in vacuum c 2.998×108  m s-1
Planck’s constant h 4.136×10−24  GeV s
Planck’s constant reduced ℏ≡h/2⁢π 6.582×10−25 GeV s
ℏ⁢c 1.973×10−16 GeV m
197.3 MeV fm
(ℏ⁢c)2 3.894×10−32 GeV2 m2
Electron charge (magnitude) e 1.602×10−19 C
Fine structure constant α≡e2/4⁢π⁢ε0⁢ℏ⁢c 7.297×10−3=1/137.04
Electron mass me 0.511 MeV/c2
Proton mass mp 1.00728 u
0.9383 GeV/c2
Neutron mass mn 1.00866 u
0.9396 GeV/c2
W boson mass MW 80.40 GeV/c2
Z boson mass MZ 91.19 Gev/c2
Fermi coupling constant GF/(ℏ⁢c)3 1.166×10−5 GeV-2
Other useful quantities e2/4⁢π⁢ε0 1.440 MeV fm

Conversion Factors

1 eV = 1.602×10−19 J = 11605 K 1 eV/c2 = 1.783×10−36 kg
1 fermi ≡ 1 fm = 10−15 m 1 barn ≡1b = 10−28m2
1 u = 931.5 MeV/c2

Natural Units When using natural units, where ℏ=c=1 then the following conversion factors can be useful.

Times 1 GeV-1 = 6.58×10−25 s
Length 1 GeV-1 = 0.197 fm
Cross-section 1 GeV-2 = 0.389 mb