Astroparticle Physics

403D Important Constants for Astroparticle Physics 1“Men who wish to know about the world must learn about it in itsparticular details.”Heraclitusrelativeuncertaintyvelocity of light c 299 792 458 m/s exactgravitational constant G 6.6742 × 10 −11 m 3 kg −1 s −2 1.5 × 10 −4Planck’s constant h 6.626 0693 × 10 −34 Js 1.7 × 10 −7= 4.135 6675 × 10 −15 eV s¯h = h/2π 1.054 571 68 × 10 −34 Js 1.7 × 10 −7Planck mass √¯hc/G = 6.582 119 15 × 10 −16 eV s 8.5 × 10 −82.176 45 × 10 −8 kg 7.4 × 10 −5Planck length √ G¯h/c 3Planck time √ G¯h/c 5 = 1.220 90 × 10 19 GeV/c 21.616 24 × 10 −35 m 7.4 × 10 −55.391 19 × 10 −44 s 7.4 × 10 −5elementary charge e 1.602 176 53 × 10 −19 C 8.5 × 10 −8fine-structure constant α =4πε e20 ¯hc1/137.035 999 11 3.3 × 10 −9Rydberg energy Ry 13.605 6923 eV 8.5 × 10 −8electron mass m e 9.109 3826 × 10 −31 kg 1.7 × 10 −70.510 998 918 MeV/c 2 8.6 × 10 −8proton mass m p 1.672 621 71 × 10 −27 kg 1.7 × 10 −7= 938.272 029 MeV/c 2 8.6 × 10 −8neutron mass m n 1.674 9287 × 10 −27 kg 6 × 10 −7= 939.565 36 MeV/c 2 3 × 10 −7m n − m p = 1.293 3317 MeV/c 2 6 × 10 −6Avogadro constant N A 6.022 1415 × 10 23 mol −1 1.7 × 10 −7Boltzmann constant k 1.380 6505 × 10 −23 JK −1 1.8 × 10 −6= 8.617 343 × 10 −5 eV K −1Stefan–Boltzmann constant σ 5.670 400 × 10 −8 Wm −2 K −4 7 × 10 −6electron volt, eV 1.602 176 53 × 10 −19 J 8.5 × 10 −81 see also Eidelman et al., Phys. Letters B592, 1 (2004)