Triple differential cross sections for the (e, 2e) reaction of atomic hydrogen in hyperspherical partial wave theory at low energies for asymmetric geometries
TL;DR: In this paper, triple differential cross sections for the ionization of hydrogen atoms by electron impact have been calculated for an incident electron energy of 27.2 eV following hyperspherical partial wave theory for asymmetric geometries.
Abstract: Triple differential cross sections for the ionization of hydrogen atoms by electron impact have been calculated for an incident electron energy of 27.2 eV following hyperspherical partial wave theory for asymmetric geometries. Calculated results are, generally, in good agreement with experiment and with results of some other well known theories. This study clearly indicates that the hyperspherical partial wave theory is a very effective approach for low-energy ionization studies.
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TL;DR: In this paper, the hyperspherical partial wave approach has been applied in the study of double photoionization of the helium atom for equal-energy-sharing geometries at 20 eV excess energy.
Abstract: The hyperspherical partial wave approach has been applied here in the study of double photoionization of the helium atom for equal-energy-sharing geometries at 20 eV excess energy. Calculations have been done both in length and velocity gauges and are found to agree with each other, with the CCC results and with experiments and to exhibit some advantages for the corresponding three-particle wavefunction over other wavefunctions in use.
8 citations
TL;DR: In this paper, the authors applied hyperspherical partial wave theory to 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.
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 [J. Roeder, M. Baertschy, and I. Bray, Phys. Rev. A 45, 2951 (2002)] and with the latest theoretical results of the ECS and CCC calculations [J. Roeder, M. Baertschy, and I. Bray, Phys. Rev. A (to be published)] 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}{sub ab} geometries. In view of the present results, together with the fact that it is capable of describing unequal-energy-sharing kinematics [J. N. Das, J. Phys. B 35, 1165 (2002)], 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.
6 citations
TL;DR: In this paper, a final state wave function is constructed which represents a solution of the three-body Schrodinger equation, which is superimposed of one basic analytical function with various parameters.
Abstract: In this work, a final state wave function is constructed which represents a solution of the three-body Schrodinger equation. The formulated wave function is superimposed of one basic analytical function with various parameters. The coefficients of these basic functions involved in final state wave function can be easily calculated from a set of linear equations. The coefficients depend only on incident energy of the system. The process can also be prolonged for application to the problems more than three bodies.
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TL;DR: In this paper, the first completely ab initio calculations of doubly differential cross sections for the electron impact ionization of hydrogen at incident energies of 17.6 eV, 25 eV and 30 eV were reported.
Abstract: We report the first completely ab initio calculations of doubly differential cross sections for the electron impact ionization of hydrogen at incident energies of 17.6 eV, 25 eV, and 30 eV. These cross sections have been extracted from wave functions obtained by directly solving a finite difference discretized Schr\"odinger equation without explicit reference to any assumed asymptotic form. Outgoing wave boundary conditions are assured by the use of the exterior complex scaling method. Our calculations suggest the need for additional experiments to augment the one available measurement.
28 citations