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Hyperspherical partial wave theory has been applied here in a new way in thecalculation of the triple differential cross sections for the ionization ofhydrogen atoms by electron impact at low energies for variousequal-energy-sharing kinematic conditions. The agreement of the cross sectionresults with the recent absolute measurements of R\"oder \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 othercalculated results, for relatively higher energies, are also generallysatisfactory, particularly for large $\Theta_{ab}$ geometries. In view of thepresent results, together with the fact that it is capable of describingunequal-energy-sharing kinematics [35], it may be said that the hypersphericalpartial wave theory is quite appropriate for the description of ionizationevents of electron-hydrogen type systems. It is also clear that the presentapproach in the implementation of the hyperspherical partial wave theory isvery appropriate.Comment: 16 pages, 9 figures, LaTeX file and EPS figures. To appear in Phys.  Rev.

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