Decay of positronium in strong magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Decay Rates, Magnetic Effects, Magnetic Flux, Positronium, Radiative Lifetime, Conservation Laws, Coupling Coefficients, Electromagnetic Coupling, Electron-Positron Pairs, Ground State, Neutron Stars, Photons

Scientific paper

The decay of bound electron-positron pairs (positronium) in strong magnetic fields (of order 10 to the 12th Gauss, which are assumed for neutron stars) are investigated on the basis of a correct treatment of the two-body problem, thus improving previous work by Carr and Sutherland (1978). It is found that, even in the presence of a strong magnetic field, the decay of the ground state of positronium must be momentum conserving, whereby the possibility of the one-photon decay is ruled out. The transition rate for the two-photon annihilation process is calculated, which turns out to be larger than the field free transition rate by a factor of the inverse square of the electromagnetic coupling constant times the ratio of the magnetic field to a critical value (4.41 x 10 to the 13th Gauss).

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