Hybrid Theory of Electron-Hydrogenic Systems Elastic Scattering

Abstract

AbstractAccurate electron-hydrogen and electron-hydrogenic cross sections are required to interpret various experiments. Scattering from such simple systems allows us to test various scattering theories. The incident electron produces a distortion of the target which results into a long-range polarization potential in the Schrödinger equation for the scattering function. There are also short-range correlations. In this article, we show how to take into account these two effects at the same time variationally. The polarization is considered to take place whether the electron is outside the target-electron orbit or inside it. Phase shifts have been calculated for the scattering from hydrogen atom, He+ and Li++ positive ions. The S-wave phase shifts calculated here have lower bounds and they increase as the number of terms in the correlation function is increased. It is shown that only short expansions are needed to obtain accurate results. The results are compared with the previous calculations. Resonance parameters for the resonances in He and Li+ have been calculated by calculating phase shifts in the resonance regions. The results are compared with the previous calculations and the merit of the present approach compared to the previous approach is pointed out.KeywordsPhase ShiftOptical PotentialResonance ParameterScatter Wave FunctionPhotodetachment Cross SectionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.