QED Phenomena in an Ultrastrong Magnetic Field. II. Electron-Positron Scattering, $e^pm$-Ion Scattering, and Relativistic Bremsstrahlung. (arXiv:1904.03325v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Kostenko_A/0/1/0/all/0/1">Alexander Kostenko</a> (University of Toronto), <a href="http://arxiv.org/find/astro-ph/1/au:+Thompson_C/0/1/0/all/0/1">Christopher Thompson</a> (CITA)
This paper continues the approach of Kostenko & Thompson to calculating
quantum electrodynamic processes in the ultrastrong magnetic field near some
neutron stars, such as magnetars or merging binary neutron stars. Here we
consider electron-positron scattering, the Coulomb scattering of electrons and
positrons off ions, and relativistic $e^pm$-ion bremsstrahlung. The evaluation
of differential and total cross sections simplifies considerably when the
magnetic field lies in the range $10^3B_{rm Q} gg B gg B_{rm Q}$, where
$B_{rm Q} equiv m^2/e = 4.4times 10^{13}$ G. Then, relativistic motion of
$e^pm$ is possible even when restricted to the lowest Landau state. Accurate
results for differential and total cross sections are obtained by truncating
the sum over intermediate-state Landau levels and otherwise disregarding terms
inversely proportional to the magnetic field, which are complicated enough to
have inhibited previous attempts to calculate magnetic electron-positron
scattering and relativistic bremsstrahlung. A quantitative account is made of
the effects of Debye screening.
This paper continues the approach of Kostenko & Thompson to calculating
quantum electrodynamic processes in the ultrastrong magnetic field near some
neutron stars, such as magnetars or merging binary neutron stars. Here we
consider electron-positron scattering, the Coulomb scattering of electrons and
positrons off ions, and relativistic $e^pm$-ion bremsstrahlung. The evaluation
of differential and total cross sections simplifies considerably when the
magnetic field lies in the range $10^3B_{rm Q} gg B gg B_{rm Q}$, where
$B_{rm Q} equiv m^2/e = 4.4times 10^{13}$ G. Then, relativistic motion of
$e^pm$ is possible even when restricted to the lowest Landau state. Accurate
results for differential and total cross sections are obtained by truncating
the sum over intermediate-state Landau levels and otherwise disregarding terms
inversely proportional to the magnetic field, which are complicated enough to
have inhibited previous attempts to calculate magnetic electron-positron
scattering and relativistic bremsstrahlung. A quantitative account is made of
the effects of Debye screening.
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