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arxiv: 0711.0008 · v1 · submitted 2007-10-31 · ✦ hep-ph · physics.atom-ph

Positronium-ion decay

classification ✦ hep-ph physics.atom-ph
keywords decayboundcorrectionspositronium-ionstatealphaamplitudecalculation
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We present a precise theoretical prediction for the decay width of the bound state of two electrons and a positron (a negative positronium ion), Gamma(Ps^-) = 2.087 085(12)/ns. We include O(alpha^2) effects of hard virtual photons as well as soft corrections to the wave function and the decay amplitude. An outcome of a large-scale variational calculation, this is the first result for second-order corrections to a decay of a three-particle bound state. It will be tested experimentally in the new positronium-ion facility in Garching in Germany.

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