入射电子被中性原子散射过程中的库仑波描述

在前期工作的基础上,给出了有效电荷Zeff的解析形式.研究发现:有效电荷Zeff与入射电子的能量和散射角有关.我们早期工作的一个重要缺陷是:对于初、末通道,分别使用了解析的平面波和库仑波,而现有的波函数与早期工作之间的一个重要差别在于:在初通道,现有的波函数包含有入射电子与中性原子之间的短程相互作用效应,而早期文章则没有这种效应.这里使用的末态波函数与以前是相同的.当入射电子处在有效电荷库仑场的情形下,我们计算了电子入射离化氦原子的三重微分截面,并发现现有的理论计算与实验结果很好的一致.

The coulomb describing for the incident electron scattering from neutral atoms

Based on our earlier paper,an effective charge Z_eff can be shown analytically.It has been found that an effective charge Z_eff depends on the scattering angle and incident energy of the incoming electron.A major limitation of our earlier paper lin in the fact that analytic plane waves were used for the incident electron and analytic Coulomb waves were used for the two final-state electrons.The important difference between our earlier paper and present wave functions lies in the fact that the present initial target wave functions include short-rang effects of screeing by the atomic electrons while our earlier paper do not.For the case of helium,the present final-state wave functions are the same as those used by our earlier paper.We compute the triple differential cross section for electron impact ionization atomic helium using Coulomb waves with an effective charge for the incoming electron and find very agreement with experiment and with previous calculations.