One-photon and two-photon annihilation of positronium in strong magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Neutron Stars, Positron Annihilation, Positronium, Stellar Magnetic Fields, Stellar Models, Bessel Functions, Elementary Particle Interactions, Neutron Decay, Wave Functions

Scientific paper

In the presence of a strong magnetic field (such as those believed to be characteristic of neutron stars: at least about 1 trillion) positronium may annihilate through the emission of a single photon, the magnetic field providing the photon momentum. This paper reports on calculations of the one-photon and two-photon annihilation rates for the ground state of positronium for magnetic fields in the range from 1 trillion to 44 trillion gauss, and gives, in the two-photon case, the minimum energy half-width of the emission line due to the momentum contributions from the magnetic field. It is found that unless neutron stars have magnetic fields in excess of 10 trillion gauss, it is unlikely that the one-photon process will be observable.

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