Photon dispersion in a strong magnetic field with positronium formation - Theory

Mathematics

Scientific paper

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Magnetic Effects, Polarization Characteristics, Positronium, Pulsars, Annihilation Reactions, Bethe-Salpeter Equation, Green'S Functions, Operators (Mathematics), Particle Production, Photons

Scientific paper

The energy spectrum of a positronium atom in a mgnetic field in excess of 2.35 GG and its implications for photon capture in such fields (e.g., in pulsars) are investigated theoretically, refining and extending the analysis of Shabad (1975). Consideration is given to one-photon positronium creation and annihilation in a magnetic field; the Bethe-Salpeter equation for electron-positron states in strong magnetic fields; the contribution of bound states to the photon-polarization operator; the poles of the Green function for the photon; and the effects of photon capture and positronium creation on the physics of pulsars, gamma bursters, close-binary X-ray sources, and other objects containing magnetic neutron stars. It is found that in 4-TG fields with curved lines of force, adiabatic transformation of photons channeled along the lines into bound pairs is more important than the analogous formation of unbound pairs.

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