Applicability of Modified Effective-Range Theory to positron-atom and positron-molecule scattering

Details Applicability of Modified Effective-Range Theory to positron-atom and positron-molecule scattering Applicability of Modified Effective-Range Theory to positron-atom and positron-molecule scattering

2006-04-28

arxiv.org/abs/physics/0604231v1

Phys. Rev. A 73, 064701 (2006)

Physics

Atomic Physics

RevTeX, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.064701

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.

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