回旋共振散射特征模拟。I.热平均回旋散射截面，平均自由光子路径表和电子动量取样
Cyclotron resonant scattering feature simulations. I. Thermally averaged cyclotron scattering cross sections, mean free photon-path tables, and electron momentum sampling
摘要：
电子回旋共振散射特征（CRSF）在X射线谱中被观察到为类吸收线。这些量子力学特征的蒙特卡罗模拟的计算时间的很大一部分花费在计算散射前每个单个光子的平均自由程上，因为它涉及散射截面和散射电子的（热）速度分布上的复杂数值积分。我们的目标是数值计算插值表，它可以用来在CRSF模拟中采样的散射光子的平均自由程和散射电子的动量。该表还包含采样散射电子的最终自旋所需的所有信息。使用自适应Simpson积分方案计算表。能量和角度网格被细化，直到达到规定的精度。我们的模拟代码使用这些表来产生人工CRSF谱。在这些模拟过程中采样的电子动量进行了分析，并使用理论上确定的边界证明。本文给出了一套完整的表格，适用于典型X射线脉冲星吸积柱（0.01<B/ B_{crit} <=0.12，其中B_{crit} = 4.413 × 10 ^{13} G，3 keV <=kT<15 keV）条件下回旋散射过程蒙特卡罗模拟的平均自由程计算。选择表格的采样，使得对于网格中的所有点，结果具有至多1/15的估计相对误差。这些表格可在http://www.sternwarte.uni-erlangen.de/research/cyclo网站上查阅。
英文摘要：
Electron cyclotron resonant scattering features (CRSFs) are observed as absorption-like lines in the spectra of X-ray pulsars. A significant fraction of the computing time for Monte Carlo simulations of these quantum mechanical features is spent on the calculation of the mean free path for each individual photon before scattering, since it involves a complex numerical integration over the scattering cross section and the (thermal) velocity distribution of the scattering electrons. We aim to numerically calculate interpolation tables which can be used in CRSF simulations to sample the mean free path of the scattering photon and the momentum of the scattering electron. The tables also contain all the information required for sampling the scattering electron's final spin. The tables were calculated using an adaptive Simpson integration scheme. The energy and angle grids were refined until a prescribed accuracy is reached. The tables are used by our simulation code to produce artificial CRSF spectra. The electron momenta sampled during these simulations were analyzed and justified using theoretically determined boundaries. We present a complete set of tables suited for mean free path calculations of Monte Carlo simulations of the cyclotron scattering process for conditions expected 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 tables is chosen such that the results have an estimated relative error of at most 1/15 for all points in the grid. The tables are available online at http://www.sternwarte.uni-erlangen.de/research/cyclo.
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