Multiple scattering calculation of double and single differential cross sections for ionization of hydrogen atoms by electrons at intermediate energies

Abstract

Abstract. The multiple scattering approach of Das and Seal, which was applied earlier to calculate the triple differential cross section for the ionization of atomic hydrogen by electrons is now used to calculate the double and the single differential cross sections for the same system. The range of the incident electron energy is taken to be 100-250 eV. The present results are compared with the measured results of Shyn and with the available distorted wave Born approximation results.

Double Differential Cross-sections for Ionization of Metastable 2P-state Hydrogen Atoms by Electrons at Intermediate Energies with Exchange Effects

“…Firstly, in Fig. 1 (a) for incident electron energy Ei=250eV and ejected electron energy E1= 4eV, the present exchange result shows a broad peak at a whole range of ejected angle θ1=0 0 to 180 0 which passes closely with the first Born result but shows a reverse pattern with both Das and Seal [12] and Shyn [33]. But at lower angle of θ1=40 0 the present result shows good understanding with the compared results.…”

“…Also our observation is that the present DDCS result of metastable 2P-state and Das and Seal [12] show same peak pattern and disappear slowly at θ1increasing after 40 0 and at the same angles the result of Shyn [33] exhibits reverse shape. Also the present result moves higher than both [12] and [33] at higher θ1 values but at lower angle present calculation shows opposite shape with both compared results. Next after taking the incident electron energy Ei=250eV and ejected electron energy E1= 20eV in Fig.…”

“…Introduction: Atomic ionization of hydrogen atoms by electrons is the most fundamental and simplest ionization problem. Though many theoretical calculations of cross section for ionization of hydrogen atoms in the ground state [1][2][3][4][5][6][7][8][9][10][11][12][13] and metastable state [14][15][16][17][18][19][20][21][22][23][24][25][26] at various incident energies and under different kinematic conditions are exist, so that's why experimental study regarding this field is very important to justify the theoretical results. The first theoretical study on double differential cross-sections (DDCS) is based on the plane-wave Born approximation operated by Massey & Mohr [3] and McCarrol [27] which was performed at very high energies.…”

“…The ejected angle θ1varies from 0 0 to 180 0 considered as horizontal axis where DDCS as vertical axis in all figures and the scattered angle θ2 varies from 0 0 to 100 0 . Ionization of hydrogen atoms by electrons from the ground state experimental results of Shyn [33], computational result of Das and Seal [12] and first Born results are presented here for comparison. The final state scattering wave function  (−) (r , r ) is the continuum state of the atomic hydrogen.…”

Energy Spectrum of Ejected Electrons of H(2P) Ionization by Electrons in Coplanar Asymmetric Geometry

“…The theoretical and experimental study in electron atom ionization collision on differential cross sections has become increasingly interesting over four decades for relativistic [1][2][3][4][5] as well as non-relativistic [6][7][8][9][10][11][12][13][14][15][16][17] energies. Various theoretical models applying differential kinematical conditions have been vastly used for experimental measurements.…”