当光子能量大于1 MeV时，K壳层束缚电子的光效应和电子对产生的总截面
The total cross-sections for the photoeffect for K-shell bound electrons and pair production with the created electron in the ground state for photon energies above 1 MeV
摘要：
考虑到Hostler给出的相对论性库仑格林函数主项对二阶S矩阵元的贡献，并仅考虑基态Dirac旋量的大分量，我们得到了瑞利振幅虚部的初等函数表达式。由此得到了K壳层中产生电子的光效应和电子对产生的总截面的简单而高精度的计算公式，并与Kissel \textit{via} [Phys.Rev.A22，1970（1980）]和Scofield [LLRL，InternalReport，1973]的完全相对论数值计算作了比较。一个很好的协议被发现以上的对生产阈值高达5兆电子伏的任何Z元素的光子能量。我们提出了我们的数值计算结果的总的光效应和对生产截面，各种光子能量的K壳层的银和铅。
英文摘要：
Considering the contributions of the main term of the relativistic Coulombian Green function given by Hostler to the second order of S matrix element and taking into account only the large components of the Dirac spinor of the ground state we obtain the imaginary part of the Rayleigh amplitudes in terms of elementary functions. Thereby simple and high accurate formulae for the total cross-sections for photoeffect and pair production with the electron created in the K-shell are obtained \textit{via} the optical theorem.Comparing the predictions given by our formulae with the full relativistic numerical calculations of Kissel \textit{et al} [Phys. Rev. A 22, 1970 (1980)] and Scofield [LLRL, Internal Report,1973], a good agreement is found for photon energies above the pair production threshold up to 5 MeV for any Z elements. We present our numerical results for the total photoeffect and pair production cross-sections, for various photon energies for the K-shell of Ag and Pb.
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