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arXiv physics/0606183physics.atom-ph
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当光子能量大于1 MeV时,2S亚壳层束缚电子的光效应和2S亚壳层中产生电子对的总截面

The total cross-sections for the photoeffect for 2S-subshell bound electrons and pair production with the created electron in the 2S subshell for photon energies above 1 MeV

A. Costescu, S. Spanulescu, C. Stoica

摘要:

考虑Hostler [J.Math.Phys.,5,591(1964)]给出的相对论性库仑格林函数的主项对二阶S矩阵元的贡献,仅考虑2S次壳层Dirac旋量的大分量,我们用初等函数的形式得到了Rayleigh振幅的虚部。由此,利用光学定理得到了计算2S次壳层中电子产生的光效应和对产生的总截面的简单而高精度的公式。将我们的公式给出的预测与Kissel等人[Phys. Rev. A 22,1970(1980)]和Scofield [LLRL,Internal Report(1973)]的完全相对论数值计算进行比较,发现在考虑屏蔽效应的情况下,对于高于对产生阈值能量的光子能量,在低和中等Z值时,有很好的一致性。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的2S亚壳层的Zn和Ag原子,不同的光子能量。

英文摘要:

Considering the contributions of the main term of the relativistic Coulombian Green function given by Hostler [J. Math. Phys, 5, 591 (1964)] to the second order of the S-matrix element and taking into account only the large components of Dirac spinor of the 2S subshell, we have obtained 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 2S subshell are obtained via the optical theorem. Comparing the predictions given by our formulae with the full relativistic numerical calculations of Kissel et al [Phys. Rev. A 22, 1970 (1980)] and Scofield [LLRL, Internal Report (1973)], a good agreement is found for low and intermediate Z values if screening effects are taken into account, for photon energies above the pair production threshold energy. We present our numerical results for the total photoeffect and pair production cross-sections for the 2S subshell of Zn and Ag atoms, for various photon energies.

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