Calculations of positronium-atom scattering using a spherical cavity

A. R. Swann and G. F. Gribakin
Phys. Rev. A 97, 012706 – Published 22 January 2018

Abstract

Positronium (Ps) scattering by noble-gas atoms (He, Ne, Ar, Kr, and Xe) is studied in the frozen-target approximation and with inclusion of the van der Waals interaction. Single-particle electron and positron states in the field of the target atom are calculated, with the system enclosed by a hard spherical wall. The two-particle Ps wave function is expanded in these states, and the Hamiltonian matrix is diagonalized, giving the Ps energy levels in the cavity. Scattering phase shifts, scattering lengths, and cross sections are extracted from these energies and compared with existing calculations and experimental data. Analysis of the effect of the van der Waals interaction shows that it cannot explain the recent experimental data of Brawley et al. for Ar and Xe [Phys. Rev. Lett. 115, 223201 (2015)].

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  • Received 14 December 2017

DOI:https://doi.org/10.1103/PhysRevA.97.012706

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

A. R. Swann* and G. F. Gribakin

  • School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom

  • *a.swann@qub.ac.uk
  • g.gribakin@qub.ac.uk

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Vol. 97, Iss. 1 — January 2018

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