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.
|Number of pages||10|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 8 Jan 2014|
Cheng, Y. J., Tang, L. Y., Mitroy, J., & Safronova, M. S. (2014). All-order relativistic many-body theory of low-energy electron-atom scattering. Physical Review A - Atomic, Molecular, and Optical Physics, 89(1), 1-10. https://doi.org/10.1103/PhysRevA.89.012701