利用雙曲線Eikonal近似及模型位勢探討電子與氫原子的散射問題

Abstract

我們以雙曲線Eikonal近似法來探討電子與氫原子的碰撞問題. 原子間的 交互作用,我們採用一個模型位勢以取代傳統的庫侖位勢.這個模型位勢可 以準確的給出負氫離子的束縛能以及電子與氫原子的低能散射的相角移 位(phase 個模型位勢能準確描述高能量電子與氫原子散射,我們以最小二 乘法與散射截面的實驗數據.重新修正模型位勢的作用強度參數.然而修正 級的模型位勢仍不能準確的描述實驗所得的大角度的散射數據. Hyperbolic Eikonal approximation was employed to study the electron-hydrogen differential crossl potential was used to replace the Coulomb potential adopted usually between the electron and hydrogen atom. This model potential had been shown to be able reproduce theof negative hydrogen ion and the low energy electron-hydrogen scattering phasethis model potential can not meet the observed scattering data at all. In order to reproduce the higher energy scattering data, the interaction strength parameters of the model potential were adjusted to fit the observed data at certain incident energy of electron by least-squares calculation. It was found that the new fitted model potential can only reproduce the high energyen differential cross section fairly well. Further investigation is certainly required.