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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
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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
elastic-scattering
lifetime spectra
large molecules
ground-state
low energies
xenon
krypton
DOI http://dx.doi.org/10.1103/PhysRevB.65.042705   (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


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