Electron-impact double ionization of He by applying the Jacobi matrix approach to the Faddeev-Merkuriev equations

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052708· OSTI ID:21546776

Mengoue, M Silenou ^[1]; Njock, M G. Kwato ^[1]; Piraux, B ^[2]; Popov, Yu V ^[3]; Zaytsev, S A ^[4]

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1. Centre for Atomic, Molecular Physics and Quantum Optics, Faculty of Science, University of Douala, P.O. Box 8580, Douala (Cameroon)
2. Institute of Condensed Matter and Nanosciences, Universite catholique de Louvain, Batiment de Hemptinne, 2, chemin du cyclotron, B1348 Louvain-la Neuve (Belgium)
3. Nuclear Physics Institute, Moscow State University, Moscow, RU-119991 (Russian Federation)
4. Pacific National University, Khabarovsk, RU-680035 (Russian Federation)

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.

• OSTI ID: 21546776
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BORN APPROXIMATION
CALCULATION METHODS
CONVERGENCE
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
EXPERIMENTAL DATA
FERMIONS
FLUIDS
FUNCTIONS
GASES
HELIUM
INFORMATION
IONIZATION
JACOBIAN FUNCTION
LEPTONS
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
NONMETALS
NUMERICAL DATA
RARE GASES
THREE-BODY PROBLEM
WAVE FUNCTIONS