Statistics – Computation
Scientific paper
Jan 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...300..167h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 300, Jan. 1, 1986, p. 167-177.
Statistics
Computation
21
Annihilation Reactions, Computational Astrophysics, Electron-Positron Pairs, Photons, Relativistic Plasmas, Asymptotic Methods, Landau Factor, Maxwell-Boltzmann Density Function, Neutron Stars, Rates (Per Time)
Scientific paper
In supersonic magnetic fields, electron-positron pairs may annihilate into single photons producing spectral features above 1 MeV. The paper calculates the exact one-photon annihilation rate in the general case where pairs may annihilate from excited Landau states, extending the previous studies which were restricted to pairs in the ground state. Asymptotic expressions for annihilation spectra and rates in the limit of large pair quantum numbers are also derived. It is found that the rate of annihilation from excited states can exceed the rate from the ground state by orders of magnitude in fields less than about 2 x 10 to the 12th G. This allows one-photon annihilation to be competitive with the two-photon process at typical neutron star field strengths. Annihilation spectra from a Maxwellian pair plasma at transrelativistic temperatures show fine structure near threshold on a scale (h/2pi)omegaB as the result of contributions from individual pair states, which blend into a smooth continuum at higher energies.
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