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

Philip L. Bartlett | Zendy; A. T. Stelbovics | Zendy; Igor Bray | Zendy

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

Author(s) -

Philip L. Bartlett,

A. T. Stelbovics,

Igor Bray

Publication year - 2003

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.68.030701

Subject(s) - physics , ionization , atomic physics , scattering , electron , coulomb , semiclassical physics , wave function , above threshold ionization , electron scattering , quantum mechanics , ion , photoionization , quantum

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)].

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