One-quantum annihilation of polarized electron-positron pairs in strong magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electron-Positron Pairs, Gamma Ray Bursts, Neutron Stars, Polarization (Spin Alignment), Positron Annihilation, Quantum Electrodynamics, Stellar Magnetic Fields, Cross Sections, Field Strength, Landau Factor, Quantum Numbers, Relativistic Effects

Scientific paper

The authors use the exact relativistic polarization states of Dirac particles in a uniform magnetic field to derive the cross section for one-quantum annihilation of polarized electron-positron pairs that occupy arbitrary Landau levels. The formal analogy, according to hole theory, between cyclotron transitions and one-quantum annihilation in a magnetic field is pointed out, and is exploited to check the results for one-quantum annihilation against previous results for cyclotron transitions between arbitrary Landau states. Furthermore, by averaging over the polarization states the authors can compare with results obtained recently (Harding 1986) for the annihilation rates of unpolarized pairs. Significant differences are found for the annihilation rates from individual pair states when both particles occupy the same excited Landau level.

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