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

Yongjun Cheng, Li Yan Tang, J. Mitroy, and M. S. Safronova

Phys. Rev. A 89, 012701 – Published 8 January 2014

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.

Received 31 October 2013

DOI:https://doi.org/10.1103/PhysRevA.89.012701

Authors & Affiliations

Yongjun Cheng^1,2,*, Li Yan Tang^2,3,†, J. Mitroy^2,‡, and M. S. Safronova^4,§

¹Center for Theoretical Atomic and Molecular Physics, The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, Harbin 150080, People's Republic of China
²Centre for Antimatter-Matter Studies and School of Engineering, Charles Darwin University, Darwin, Northern Territory 0909, Australia
³State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, People's Republic of China
⁴Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA

^*cyj83mail@gmail.com
^†lytang@wipm.ac.cn
^‡jxm107@rsphysse.anu.edu.au
^§msafrono@udel.edu

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Vol. 89, Iss. 1 — January 2014

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