All-order relativistic many-body theory of low-energy electron-atom scattering

Yong Jun Cheng; Li Yan Tang; James Mitroy; Marianna S Safronova

doi:10.1103/PhysRevA.89.012701

All-order relativistic many-body theory of low-energy electron-atom scattering

Yong Jun Cheng, Li Yan Tang, James Mitroy, Marianna S Safronova

Research output: Contribution to journal › Article › peer-review

Abstract

A generalization of the box-variational method is developed to describe particle scattering with the Dirac equation. The method is applied to extract phase shifts from all-order single + double relativistic many-body perturbation theory calculations of the electron-helium, electron-neon, and electron-krypton systems. Comparisons with experimental elastic and momentum transfer cross sections are made. Agreement at the 1% to 2% level is achieved for helium and neon. The scattering length for krypton is 4% smaller in magnitude than experimental estimates derived from swarm experiments.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	89
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.89.012701
Publication status	Published - 8 Jan 2014

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10.1103/PhysRevA.89.012701

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title = "All-order relativistic many-body theory of low-energy electron-atom scattering",

abstract = "A generalization of the box-variational method is developed to describe particle scattering with the Dirac equation. The method is applied to extract phase shifts from all-order single + double relativistic many-body perturbation theory calculations of the electron-helium, electron-neon, and electron-krypton systems. Comparisons with experimental elastic and momentum transfer cross sections are made. Agreement at the 1% to 2% level is achieved for helium and neon. The scattering length for krypton is 4% smaller in magnitude than experimental estimates derived from swarm experiments. ",

keywords = "Dirac equations, Electron-atom scattering, Many-body theory, Momentum transfer cross sections, Particle scattering, Relativistic many-body perturbation theories, Scattering length, Helium, Linear equations, Scattering, Electrons",

author = "Cheng, {Yong Jun} and Tang, {Li Yan} and James Mitroy and Safronova, {Marianna S}",

year = "2014",

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doi = "10.1103/PhysRevA.89.012701",

language = "English",

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journal = "Physical Review A",

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AU - Cheng, Yong Jun

AU - Tang, Li Yan

AU - Mitroy, James

AU - Safronova, Marianna S

PY - 2014/1/8

Y1 - 2014/1/8

N2 - A generalization of the box-variational method is developed to describe particle scattering with the Dirac equation. The method is applied to extract phase shifts from all-order single + double relativistic many-body perturbation theory calculations of the electron-helium, electron-neon, and electron-krypton systems. Comparisons with experimental elastic and momentum transfer cross sections are made. Agreement at the 1% to 2% level is achieved for helium and neon. The scattering length for krypton is 4% smaller in magnitude than experimental estimates derived from swarm experiments.

AB - A generalization of the box-variational method is developed to describe particle scattering with the Dirac equation. The method is applied to extract phase shifts from all-order single + double relativistic many-body perturbation theory calculations of the electron-helium, electron-neon, and electron-krypton systems. Comparisons with experimental elastic and momentum transfer cross sections are made. Agreement at the 1% to 2% level is achieved for helium and neon. The scattering length for krypton is 4% smaller in magnitude than experimental estimates derived from swarm experiments.

KW - Dirac equations

KW - Electron-atom scattering

KW - Many-body theory

KW - Momentum transfer cross sections

KW - Particle scattering

KW - Relativistic many-body perturbation theories

KW - Scattering length

KW - Helium

KW - Linear equations

KW - Scattering

KW - Electrons

U2 - 10.1103/PhysRevA.89.012701

DO - 10.1103/PhysRevA.89.012701

M3 - Article

VL - 89

SP - 1

EP - 10

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 1

ER -

All-order relativistic many-body theory of low-energy electron-atom scattering

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