Calculation of Low-Energy Positron-Atom Scattering with Square-Integrable Wavefunctions

Sarah Gregg*, Gleb Gribakin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
81 Downloads (Pure)

Abstract

The variational method is applied to the low-energy positron scattering and annihilation problem. The ultimate aim of the investigation is to find a computationally economical way of accounting for strong electron–positron correlations, including the effect of virtual positronium formation. The method is applied to the study of elastic s-wave positron scattering from a hydrogen atom. A generalized eigenvalue problem is set up and solved to obtain s-wave positron–hydrogen scattering phase shifts within 8 × 10−3 rad of accepted values. This is achieved using a small number of terms in the variational wavefunction; in particular, only nine terms that depend on the electron–positron distance are included. The annihilation parameter Zeff is also calculated and is found to be in good agreement with benchmark calculations.
Original languageEnglish
Article number97
JournalAtoms
Volume10
Issue number4
DOIs
Publication statusPublished - 22 Sept 2022

Keywords

  • theoretical atomic and molecular physics
  • positron
  • hydrogen
  • annihilation
  • phase shift
  • scattering

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