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Electron cyclotron resonant scattering features (CRSFs) are observed asabsorption-like lines in the spectra of X-ray pulsars. A significant fractionof the computing time for Monte Carlo simulations of these quantum mechanicalfeatures is spent on the calculation of the mean free path for each individualphoton before scattering, since it involves a complex numerical integrationover the scattering cross section and the (thermal) velocity distribution ofthe scattering electrons.  We aim to numerically calculate interpolation tables which can be used inCRSF simulations to sample the mean free path of the scattering photon and themomentum of the scattering electron. The tables also contain all theinformation required for sampling the scattering electron's final spin.  The tables were calculated using an adaptive Simpson integration scheme. Theenergy and angle grids were refined until a prescribed accuracy is reached. Thetables are used by our simulation code to produce artificial CRSF spectra. Theelectron momenta sampled during these simulations were analyzed and justifiedusing theoretically determined boundaries.  We present a complete set of tables suited for mean free path calculations ofMonte Carlo simulations of the cyclotron scattering process for conditionsexpected in typical X-ray pulsar accretion columns (0.01<B/B_{crit}<=0.12,where B_{crit}=4.413x10^{13} G and 3keV<=kT<15keV). The sampling of the tablesis chosen such that the results have an estimated relative error of at most1/15 for all points in the grid. The tables are available online athttp://www.sternwarte.uni-erlangen.de/research/cyclo.

astronomy and astrophysics

Cyclotron resonant scattering feature simulations. I. Thermally averaged  cyclotron scattering cross sections, mean free photon-path tables, and  electron momentum sampling