Applicability of Modified Effective-Range Theory to positron-atom and positron-molecule scattering
Atomic Physics
2009-11-11 v1
Abstract
We analyze low-energy scattering of positrons on Ar atoms and N2 molecules using Modified Effective-Range Theory (MERT) developped by O'Malley, Spruch and Rosenberg [Journal of Math. Phys. 2, 491 (1961)]. We use formulation of MERT based on exact solutions of Schroedinger equation with polarization potential rather than low-energy expansions of phase shifts into momentum series. We show that MERT describes well experimental data, 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 eV). We estimate the values of the s-wave scattering lenght and the effective range for e+ - Ar and e+ - N2 collisions.
Cite
@article{arxiv.physics/0604231,
title = {Applicability of Modified Effective-Range Theory to positron-atom and positron-molecule scattering},
author = {Zbigniew Idziaszek and Grzegorz Karwasz},
journal= {arXiv preprint arXiv:physics/0604231},
year = {2009}
}
Comments
RevTeX, 4 pages, 2 figures