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Cross sections for radiative recombination and the photoelectric effect in the K, L, and M shells of one-electron systems with 1 <= Z <= 112 calculated within an exact relativistic description

机译:在精确相对论描述中计算的1 <= Z <= 112的单电子系统的K,L和M壳中的辐射复合截面和光电效应

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An extensive tabulation of total cross sections for radiative recombination and, consequently, for the photoelectric effect of hydrogenlike ions with charge numbers 1 less than or equal to Z less than or equal to 112 is presented for the K, L, and M shells and electron energies ranging from closely above the threshold to the relativistic regime. The cross sections, accurate to three digits, are based on fully relativistic calculations including the effects of the finite nuclear size and all multipole orders of the photon field. The cross sections for radiative recombination are displayed as a function of the electron energy. By a simple scaling, the dependence on the projectile energy in MeV/u can be derived for accelerator experiments, and, by using elementary formulas, the cross section for the photoelectric effect is obtained as a function of the photon energy. Furthermore, it is pointed out how to scale the cross sections for the capture of heavy Dirac particles. In order to assess the accuracy of cross sections derived from the widely used nonrelativistic dipole approximation, we present a comparison with exact relativistic results for a few representative cases. (C) 2000 Academic Press. [References: 27]
机译:对于K,L和M壳层和电子,给出了辐射复合以及因此导致电荷数1小于或等于Z小于或等于112的类氢离子的光电效应的总截面的广泛列表。能量范围从接近阈值到相对论政权。精确到三位数的横截面基于完全相对论的计算,包括有限核尺寸和光子场的所有多极级的影响。辐射复合的横截面显示为电子能量的函数。通过简单的换算,可以在加速器实验中得出对MeV / u的射弹能量的依赖性,并通过使用基本公式,获得光电效应的横截面随光子能量的变化。此外,指出了如何缩放横截面以捕获重的狄拉克颗粒。为了评估从广泛使用的非相对论偶极近似得到的横截面的准确性,我们对一些代表性案例与精确相对论结果进行了比较。 (C)2000年学术出版社。 [参考:27]

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