电子碰撞下氢原子单离化反应三重微分散射截面的计算

The calculation of triple-differential cross sections of hydrogen atom single-ionization by electrons

在共面非对称几何条件下 ,利用能壳上跃迁矩阵元的后滞形式和双势公式 ,对快电子碰撞下氢原子的单离化 ,提出了一个新的计算方法 .通过分解动能算符 ,并且略去两电子的质心运动和相对运动的指数因子 ,对快电子采用平面波的近似形式 ,得到了库仑三体问题的近似解 .散射振幅可以表示成两个因子乘积的形式 ,即结构散射因子T2 和关联因子T1 2 .采用渐近级数展开和最佳截断的方法讨论了T2 和T1 2 对三重微分散射截面的影响 .

A simple model is proposed to study the ionization of the atomic hydrogen by fast election impact in coplanar asymmetric geometry, making use of the post form of the enery shell transition matrix element and the two-potential formula. By virtue of dividing the full kinetic energy operator, we obtain an approximate solution of the three body problem through the canceling of the motion of two-election mass and exponent factor of relative motion and the approximation of projectile plane wave. TDCS(triple differential cross section) is expressed by the product of two factors,the structure factor T-2 and correlation one T-12. In this article, the contribution of these factors is investigated using the method of asymptotic series and method.