Does the Time-Dependent Close-Coupling Approximation Predict Symmetric Single Differential Cross Sections for Electron Ionization of Hydrogen?
The single differential cross section (SDCS) for electron-impact single ionization should be symmetrical about half the total energy of the system. However, numerical results for the convergent close-coupling approximation do not exhibit this symmetry. Consequently, a controversy has arisen as to whether this is characteristic for all fully converged time-independent close-coupling calculations or whether this indicates a lack of convergence. In this paper, the behaviour of the SDCS is examined for time-dependent close-coupling calculations and it is found that a fully converged calculation would be symmetrical about half the total energy.
D. H. Madison et al., "Does the Time-Dependent Close-Coupling Approximation Predict Symmetric Single Differential Cross Sections for Electron Ionization of Hydrogen?," Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 33, no. 20, pp. 4409-4423, IOP, Bristol, United Kingdom, Oct 2000.
The definitive version is available at https://doi.org/10.1088/0953-4075/33/20/316
Keywords and Phrases
Approximation theory; Electrons; Ionization; Close-coupling approximations; Hydrogen
International Standard Serial Number (ISSN)
Article - Journal
© 2000 IOP, Bristol, United Kingdom, All rights reserved.