Order (alpha^2 Gamma, alpha^3 Gamma) Binding Effects in Orthopositronium Decay

Abstract

We present a new, simplified analysis of the low-energy electron-positron interaction, and use the resulting effective theory to calculate the binding effects that contribute to the decay rate, Gamma, of orthopositronium, through Order(alpha^3 ln(alpha) Gamma). We express the total decay rate in terms of the annihilation rate for a free electron and positron at threshold, which has just recently been computed to sufficient precision. Our result corrects errors in a previous analysis.

6 pages, revtex. v2: higher order contributions included, references added. v3: check with muonium hyperfine splitting added

References in corpus (2)

• Order α^2 corrections to the decay rate of orthopositronium
• Order alpha^3 ln(1/alpha) Corrections to Positronium Decays

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