Positron annihilation in a strong magentic field.

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Classical electron gyrat<strong>in</strong>g <strong>in</strong> a magnetic field, satify<strong>in</strong>g the equation: dp e = v × B dt c where p = m v 0 Cyklotron frequency: ϖ = C e B cm a 0 gyr agyr = 3 2 2 c m0 13 ϖ C = mc 0 ⇒ B0 = = 4.414× 10 G e cp eB p critical magnetic field straight radius of gyration: B 1 0.386[pm] mc B b 0 ⇒ agyr = = 0 b = B B 0 4/37
Pulsars and magnetars: Magnetic field SGR 1806-20 8x10 14 G PSR J1846-0258 4.9x10 13 G SGR 0418+5729 < 7.5x10 12 G SGR 1900+14 7x10 14 G Swift J1834.9-0846 1.4x10 14 G SGR 0501+4516 1.9x10 14 G CXO J164710.2-455216 [Wd 1]
Page 1 and 2: Positron a
Page 3: Outline 1. Introdu
Page 7 and 8: The Dirac equation in</stro
Page 9 and 10: Landau levels The transverse motion
Page 11 and 12: Single photon <str
Page 13 and 14: Differential cross section for s<st
Page 15 and 16: Total cross section for sin
Page 17 and 18: The single photon
Page 19 and 20: Total cross section for two-photon
Page 21 and 22: Differential cross section for two-
Page 27 and 28: Comparison 1e+5 1e+4 E 0 =3m 0 c 2
Page 29 and 30: In „annihilation
Page 31 and 32: The case of small x 0 means the sma
Page 33 and 34: The case of large x 0 . The created
Page 35 and 36: Daugherty and Bussard suggested to
Page 37: Thank you for your attention 37/37

Positron annihilation in a strong magentic field.

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