Binding energy corrections in positronium decays

Lopez Castro, G.;Smith, Christopher;Pestieau, Jean
(2000) arXiv —

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Authors
  • Lopez Castro, G.
    Author
  • Smith, Christopher
    Author
  • Pestieau, JeanUCLouvain
    Author
Abstract
(en) Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons, do not exhibit good analytical behavior. We propose an ansatz which allows to include binding energy corrections and obtain the correct analytical and gauge invariance behavior of these QED amplitudes. As a consequence of these non-perturbative corrections, the parapositronium and orthopositronium decay rates receive corrections of order alpha^4 and alpha^2, respectively. These new corrections for orthopositronium are relevant in view of a precise comparison between recent theoretical and experimental developments. Implications are pointed out for analogous decays of quarkonia . Comment: 11 pages, 1 .ps figure, submitted for publication
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Citations

Lopez Castro, G., Smith, C., & Pestieau, J. (2000). Binding energy corrections in positronium decays. arXiv. https://hdl.handle.net/2078.5/257242