Analytic evaluation of the amplitudes for orthopositronium decay to three photons to one-loop order

Journal Article · Thu Sep 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.032501· OSTI ID:20718527

Adkins, Gregory S ^[1]

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1. Franklin and Marshall College, Lancaster, Pennsylvania 17604 (United States)

The matrix element for the decay of orthopositronium to three photons can be expressed in terms of three independent amplitudes. We describe the analytic evaluation of these amplitudes, both to lowest order and with the inclusion of all one-loop corrections. We use these amplitudes to find precise values for the one-loop correction to the orthopositronium decay rate {gamma}{sub 1}=-10.286606(10)({alpha}/{pi}){gamma}{sub LO}, and for the order-{alpha}{sup 2} 'square' correction to the decay rate {gamma}{sub 2}(square)=28.860(2)({alpha}/{pi}){sup 2}{gamma}{sub LO}, where {gamma}{sub LO} is the lowest order rate. We give in explicit form the function describing the one-loop correction to the distribution in phase space of the final state photons.

• OSTI ID: 20718527
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
CORRECTIONS
DECAY
DISTRIBUTION
EVALUATION
MATRIX ELEMENTS
PHASE SPACE
PHOTONS
POSITRONIUM
QUANTUM ELECTRODYNAMICS