Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon.
Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon.
复制标题
碳内壳电子碰撞电离的三重微分截面的库仑玻恩计算。
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
Macek
中科院分区：
文献类型：
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作者：
Botero;Macek
本文采用库仑玻恩近似计算了电子碰撞内壳层碳原子电离的三重微分截面。我们采用了一个扰动系列，允许使用库仑波与任意${\martit {Z}}_{\martrm {eff}}$的传入，散射和弹出的电子。实验观察到的三重微分截面的大部分功能被再现，即使这些波函数被扭曲的有效库仑势，因此不满足在无穷远的平面波边界条件。为了解释横截面中出现的一些特征，并为了探索偶极近似的有效性，我们对跃迁矩阵进行了多极展开，并表明多极分量的振幅与Born近似中获得的振幅相似，而多极分量的相对相位相差很大。
A Coulomb-Born approximation is used to compute the triple-differential cross section for electron-impact inner-shell (1s) ionization of carbon. We employ a perturbation series that allows the use of Coulomb waves with arbitrary ${\mathit{Z}}_{\mathrm{eff}}$ for the incoming, scattered, and ejected electrons. Most of the features of the triple-differential cross section observed experimentally are reproduced, even though these wave functions are distorted by an effective Coulomb potential and therefore do not satisfy the plane-wave boundary conditions at infinity. In order to explain some features that appear in the cross section, and in order to probe the validity of a dipole approximation, we make a multipole expansion of the transition matrix and show that the amplitudes of the multipole components are similar to those obtained in the Born approximation, while the relative phases of the multipoles differ greatly.