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Article

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Published version

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2003

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9587

Optical-model potential for electron and positron elastic scattering by atoms

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http://dx.doi.org/10.1103/PhysRevA.68.012708

Abstract

An optical-model potential for systematic calculations of elastic scattering of electrons and positrons by atoms and positive ions is proposed. The electrostatic interaction is determined from the Dirac-Hartree-Fock self-consistent atomic electron density. In the case of electron projectiles, the exchange interaction is described by means of the local-approximation of Furness and McCarthy. The correlation-polarization potential is obtained by combining the correlation potential derived from the local density approximation with a long-range polarization interaction, which is represented by means of a Buckingham potential with an empirical energy-dependent cutoff parameter. The absorption potential is obtained from the local-density approximation, using the Born-Ochkur approximation and the Lindhard dielectric function to describe the binary collisions with a free-electron gas. The strength of the absorption potential is adjusted by means of an empirical parameter, which has been determined by fitting available absolute elastic differential cross-section data for noble gases and mercury. The Dirac partial-wave analysis with this optical-model potential provides a realistic description of elastic scattering of electrons and positrons with energies in the range from ~100 eV up to ~5 keV. At higher energies, correlation-polarization and absorption corrections are small and the usual static-exchange approximation is sufficiently accurate for most practical purposes.

Subject

Dispersió (Física nuclear), Electrons

Subject (English)

Scattering (Physics), Electrons

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

SALVAT GAVALDÀ, Francesc. Optical-model potential for electron and positron elastic scattering by atoms. Physical Review A. 2003. Vol. 68, num. 1, pags. 012708. ISSN 1050-2947. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/9587

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