Threshold ionization laws for electron-hydrogen scattering and their dominant region of configuration space

Journal Article · Mon Sep 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.030701· OSTI ID:20640129

Bartlett, Philip L; Stelbovics, Andris T; Bray, Igor ^[1]

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1. Centre for Atomic, Molecular and Surface Physics, Murdoch University, Perth 6150, (Australia)

A fully quantal calculation of the {sup 1}S three-body wave function is performed for the Wannier model of electron-hydrogen scattering in the near-ionization threshold region using an exterior complex scaling method. The region of configuration space of the wave function that provides the dominant contribution to the total ionization cross section is demonstrated to be r{sub 1}{approx_equal}r{sub 2} in accord with the argument of Rau [Phys. Rev. A 4, 207 (1971)], but only in the so-called Coulomb zone. The work confirms to a high precision (E{sup 1.128{+-}}{sup 0.004}) the Wannier threshold law for the total ionization cross section, which is strictly valid only at the threshold. A threshold law for the {sup 3}S total ionization cross section is determined to be E{sup 3.37{+-}}{sup 0.02}, in agreement with the semiclassical calculations of Peterkop [J. Phys. B 16, L587 (1983)].

• OSTI ID: 20640129
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
CONFIGURATION
CROSS SECTIONS
ELECTRON-ATOM COLLISIONS
ELECTRONS
HYDROGEN
IONIZATION
QUANTUM MECHANICS
SCATTERING
SEMICLASSICAL APPROXIMATION
SPACE
THREE-BODY PROBLEM
WAVE FUNCTIONS