Positron annihilation in a strong magentic field.

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Summary Ω hν= −m c 2 0 1 2 B p-Ps Possible <strong>annihilation</strong> channels <strong>in</strong> a strong magnetic field: -s<strong>in</strong>gle photon (most important signature the l<strong>in</strong>e of 1022 keV) -two-photon (not important for b>1) -<strong>annihilation</strong> <strong>in</strong> flight (signature the l<strong>in</strong>e of 255,5 keV) -<strong>Positron</strong>ium lifetime is much longer than free particle. Cross sections depends on the magnetic field strength. ω pulsar polar cap surface Possible use for determ<strong>in</strong>ation of the upper limit of the magnetic field strenght. 36/37
Thank you for your attention 37/37
Page 1 and 2: Positron a
Page 3 and 4: Outline 1. Introdu
Page 5 and 6: Pulsars and magnetars: Magnetic fie
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: Daugherty and Bussard suggested to

Positron annihilation in a strong magentic field.

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