Numerical Investigation of Single and Double Differential Cross-Section for the Ionization of Metastable 2S State Hydrogen Atom by Electron Impact

Abstract

This thesis focuses on the ionization of hydrogen atoms by electrons in an asymmetric coplanar geometry, which plays a crucial role in atomic ionization problems. The Double Differential Cross Sections (DDCS) from the ionization of hydrogen atoms with different kinematic conditions offer valuable insights into various fields, including Applied Mathematics, Applied Physics, Atomic Physics, Astrophysics, Plasma Physics, and Fusion Technology. The present study uses a multiple scattering theory to examine the ionization of metastable 2S-state hydrogen atoms by non-relativistic intermediate and high-energy electrons. This theory has already proven to be successful in previous studies of DDCS results in the ground state and Triple Differential Cross Sections (TDCS) results for metastable 2S, 2P, 3P, 3S and 3D states of hydrogen atoms by electrons. We start our work by discussing the multiple scattering theory and other relevant theories related to the ionization of hydrogen atoms by electrons. The first Born DDCS for H(2S) ionization at incident energies of 150eV and 250eV are also investigated and the results show significant curve structures. The DDCS for the ionization of metastable 2S state hydrogen atoms by electrons, taking into account the direct T-matrix element and its exchange effects in coplanar asymmetric geometry, produces intriguing curve structures. The results of the simulation show good qualitative accord with theoretical and experimental data for the hydrogenic ground state. The physical origins of the curve shapes in the cross section results are explained clearly in the study. Further calculations using other familiar methods would also be of interest.