The effect of positron-phonon scattering on positron trapping at defects in metals: Solution for strong trapping

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Abstract
The solution to a model problem representing positron trapping at defects in metals in the presence of positron-phonon scattering is presented. The model uses a separable form of the trapping interaction to allow the series expansion in the interaction to be summed exactly. This form of the trapping interaction is most suitable for well localised trapped states. A position representation is used, so that motion of the positron from point to point appears explicitly in the theory. In contrast to the predictions of classical theory, the aspects of positron motion that influence the trapping probability are relatively insensitive to positron-phonon scattering.

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