Cross sections for photo-ionisation and photo-recombination of hydrogenic atoms in strong magnetic fields

Astronomy and Astrophysics – Astrophysics

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Hydrogen Recombinations, Ionization Cross Sections, Photoionization, Stellar Magnetic Fields, Stellar Models, Born Approximation, Dipoles, Linear Polarization, Neutron Stars, Pulsars, Wave Functions

Scientific paper

The general expression for the cross section is derived for arbitrary (nonrelativistic) photon energies. The ranges of validity of simplified forms obtained within several approximations (longitudinal and transverse dipole approximation, Born's approximation) are discussed. Using accurate numerical wave functions, the cross sections for magnetic field strengths of 2.35 x 10 to the 7th T and 4.70 x 10 to the 9th T are evaluated, and in particular the behavior at higher Landau thresholds is investigated. Exploiting scaling laws, results are extended to the astrophysically important case of Fe XXVI. Finally, the relation between the cross sections for photorecombination and ionisation which is valid in the presence of a strong magnetic field is obtained.

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