标题： 傍轴近似：中能电子碰撞电离分子氢和氮气 显示英文标题

标题： The paraxial approximation: the intermediate-energy electron-impact ionization of the molecular hydrogen and nitrogen

摘要： 我们已经实现了傍轴近似，然后使用冻结核心的时变Hartree-Fock方法，用于原子和双原子分子的单次碰撞电离。它将原始的散射问题简化为五维时变薛定谔方程的求解。通过这种方法，我们计算了中能电子对氦原子、氢分子和氮分子的单次碰撞电离的多重微分截面。我们的结果对于氦和氢与实验数据非常接近，但对N$_2$的结果显然较差，这是由于冻结核心近似的不足所致。 显示英文摘要

摘要： We have implemented the paraxial approximation followed by the time-dependent Hartree-Fock method with frozen core for the single impact ionization of atoms and two-atomic molecules. It reduces the original scattering problem to the five-dimensional time-dependent Schr\"odinger equation solution. By using this method we calculated the multi-fold differential cross section of the impact single ionization of the helium atom, the hydrogen molecule and the nitrogen molecule by the intermediate energy electrons. Our results for the helium and the hydrogen are quite close to experimental data, but for N$_2$ the agreement is worse apparently because of the insufficiency of the frozen core approximation.