Hyperspherical partial wave theory applied to electron hydrogen-atom ionization calculation for equal energy sharing kinematics

Abstract

Hyperspherical partial wave theory has been applied here in a new way in the calculation of the triple differential cross sections for the ionization of hydrogen atoms by electron impact at low energies for various equal-energy-sharing kinematic conditions. The agreement of the cross section results with the recent absolute measurements of Röder \textit {et al} [51] and with the latest theoretical results of the ECS and CCC calculations [29] for different kinematic conditions at 17.6 eV is very encouraging. The other calculated results, for relatively higher energies, are also generally satisfactory, particularly for large ${\Theta }_{ab}$ geometries. In view of the present results, together with the fact that it is capable of describing unequal-energy-sharing kinematics [35], it may be said that the hyperspherical partial wave theory is quite appropriate for the description of ionization events of electron-hydrogen type systems. It is also clear that the present approach in the implementation of the hyperspherical partial wave theory is very appropriate.

16 pages, 9 figures, LaTeX file and EPS figures. To appear in Phys. Rev. A

References in corpus (1)

• Electron-impact ionization of atomic hydrogen at 2 eV above threshold

Cited by in corpus (4)

• Hyperspherical partial wave calculation for double photoionization of the helium atom at 20 eV excess energy
• Equal energy sharing double photo ionization of the Helium atom at 20eV and 40eV above threshold
• Ionization of hydrogen atoms by electron impact at 1eV, 0.5eV and 0.3eV above threshold
• Hyperspherical Partial Wave Theory with Two-term Error Correction