Charles Darwin University

CDU eSpace
Institutional Repository

CDU Staff and Student only

Semiempirical model of positron scattering and annihilation

Mitroy, Jim and Ivanov, Igor A. (2002). Semiempirical model of positron scattering and annihilation. Physical Review A (Atomic, Molecular and Optical Physics),65(4):042705-1-042705-15.

Document type: Journal Article
Citation counts:
Google Scholar Search Google Scholar
Attached Files (Some files may be inaccessible until you login with your CDU eSpace credentials)
Name Description MIMEType Size Downloads
Download this reading Mitroy_730.pdf Published version application/pdf 167.90KB 243
Reading the attached file works best in Firefox, Chrome and IE 9 or later.

Title Semiempirical model of positron scattering and annihilation
Author Mitroy, Jim
Ivanov, Igor A.
Journal Name Physical Review A (Atomic, Molecular and Optical Physics)
Publication Date 2002
Volume Number 65
Issue Number 4
ISSN 1094-1622   (check CDU catalogue open catalogue search in new window)
Start Page 042705-1
End Page 042705-15
Total Pages 15
Place of Publication College Park, United States
Publisher American Physical Society
Field of Research 0202 - Atomic, Molecular, Nuclear, Particle and Plasma Physics
0204 - Condensed Matter Physics
0205 - Optical Physics
HERDC Category C1 - Journal Article (DEST)
Abstract A two-parameter semiempirical theory of positron scattering and annihilation is developed and used to investigate the behavior of positrons interacting with the rare gases and metal vapors. The two-parameter theory is able to do a reasonable job of reproducing existing cross section and annihilation data for the rare gases. A model-potential calculation that correctly predicts the behavior of the phase shifts will also predict the energy dependence of Z(eff)(k) even if the magnitude is incorrect. Analysis of the Z(eff) versus temperature data of Kurz [Phys. Rev. Lett. 77, 2929 (1996)] suggests scattering lengths of -5.6+/-1.0a(0), -10.3+/-2.0a(0), and -56+/-15a(0) for Ar, Kr, and Xe, respectively. Existing bound-state calculations can be used to fix the values of the semi-empirical parameters for a number of metal vapors, resulting in predicted Z(eff) of 119, 36, and 94 for Be, Mg, and Cu at threshold. In addition to the calculations, expressions relating the threshold form of Z(eff)(k) to the complex scattering length are presented.
Keywords schwinger multichannel method
noble-gas atoms
hydrogen scattering
lifetime spectra
large molecules
low energies
DOI   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
Additional Notes Copyright by the The American Physical Society

© copyright

Every reasonable effort has been made to ensure that permission has been obtained for items included in CDU eSpace. If you believe that your rights have been infringed by this repository, please contact

Version Filter Type
Access Statistics: 239 Abstract Views, 244 File Downloads  -  Detailed Statistics
Created: Fri, 12 Sep 2008, 08:35:25 CST by Administrator