Binding energy corrections in positronium decays

Details Binding energy corrections in positronium decays Binding energy corrections in positronium decays

2000-04-21

arxiv.org/abs/hep-ph/0004209v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 .ps figure, submitted for publication

Scientific paper

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 .

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