I A Ivanov and J Mitroy 2000 J. Phys. B: At. Mol. Opt. Phys. 33 L831 doi:10.1088/0953-4075/33/21/106
I A Ivanov and J Mitroy
Show affiliationsThe possibility of the annihilation process occurring during scattering of a positron by an atomic target is taken into account by means of an absorption potential. The imaginary absorption potential is chosen so that its matrix element in the plane wave Born approximation correctly reproduces existing perturbation theory expressions for the annihilation cross section. The momentum space Lippmann-Schwinger equations for positron-hydrogen scattering with the imaginary absorption potential are solved for some simple close-coupling expansions at energies below the positronium formation threshold. The optical potential calculations agree with previous perturbation theory calculations.
Issue 21 (14 November 2000)
Received 17 July 2000, in final form 3 October 2000
I A Ivanov and J Mitroy 2000 J. Phys. B: At. Mol. Opt. Phys. 33 L831
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