Effect of phonons on the e+–e− annihilation rate in metals

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Abstract
An estimate of the effect of positron–phonon and electron–phonon interactions on the positron partial annihilation rate in metals is presented in an effort to explain the smearing of the two-photon counting rate at the Fermi cutoff which remains at low temperatures. The lowest-order phonon diagrams in the expansion of the electron–positron correlation function are studied. It is found that such phonon effects do not account for a significant part of the smearing. In fact, it seems sensible to assume that even a more complete treatment of phonon diagrams would not appreciably change this result.

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