Electron-impact double ionization of He by applying the Jacobi matrix approach to the Faddeev-Merkuriev equations
(2011) Physical review. A, Atomic, molecular, and optical physics — Vol. 83, n° 5, p. 52708 (2011)
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- Abstract
- We apply the Jacobi matrix method to the Faddeev-Merkuriev differential equations in order to calculate the three-body wave function that describes the double continuum of an atomic two-electron system. This function is used to evaluate within the first-order Born approximation, the fully differential cross sections for (e, 3e) processes in helium. The calculations are performed in the case of a coplanar geometry in which the incident electron is fast and both ejected electrons are slow. Quite unexpectedly, the results obtained by reducing our double-continuum wave function to its asymptotic expression are in satisfactory agreement with all the experimental data of Lahmam-Bennani et al. [A. Lahaman-Bennani et al., Phys. Rev. A 59, 3548 (1999); A. Kheifets et al., J. Phys. B 32, 5047 (1999).] without any need for renormalizing the data. When the full double-continuum wave function is used, the agreement of the results with the experimental data improves significantly. However, a detailed analysis of the calculations shows that full convergence in terms of the basis size is not reached. This point is discussed in detail.
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Mengoue, M. S., Njock, M. G. K., Piraux, B., Popov, Yu. V., & Zaytsev, S. A. (2011). Electron-impact double ionization of He by applying the Jacobi matrix approach to the Faddeev-Merkuriev equations. Physical review. A, Atomic, molecular, and optical physics, 83(5), 52708. https://doi.org/10.1103/PhysRevA.83.052708 (Original work published 2011)