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Applicability of modified effective-range theory to positron-atom and positron-molecule scattering

2006/04/28 by Zbigniew Idziaszek, Grzegorz P. Karwasz, Grzegorz Karwasz · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Nuclear physics research studies #physics.atom-ph

paper · pdf · doi:10.1103/physreva.73.064701

published as Phys. Rev. A 73, 064701 (2006) · RevTeX, 4 pages, 2 figures

arxiv created 2006/04/28 · openalex publication_date 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We analyze low-energy scattering of positrons on Ar atoms and N2 molecules using the modified effective-range theory (MERT) developed by O'Malley, et al. [J. Math. Phys. 2, 491 (1961)]. We use the formulation of MERT based on exact solutions of the Schr"odinger equation with polarization potential rather than low-energy expansions of phase shifts into momentum series. We show that MERT describes the experimental data well, provided that effective-range expansion is performed both for s- and p-wave scattering, which dominate in the considered regime of positron energies (0.4--2\phantom\rule0.3em0exeV). We estimate the values of the s-wave scattering length and the effective range for e+\text\ensuremath-Ar and e+\text\ensuremath-N2 collisions.

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