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The three-photon yield from e+ annihilation in various fluids

K Mercurio1, P Zerkel2, R Laforest2,4, L G Sobotka1,3 and R J Charity3

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NOTE

Positronium in the triplet state decays by the emission of three photons and it has been proposed that their simultaneous detection can be used for medical imaging. The three-photon yield has been observed to be enhanced in low O2 levels in some fluids but has never been measured in biologically relevant liquids. In this study, the delayed three-photon decay yield, at both high and low O2 levels, has been extracted by fitting the time dependence of the two-photon yield to a set of coupled differential equations. The differential equations, in a simple yet seemingly satisfactory fashion, account for the e+ capture to form positronium, its decay and the interconversion of the two spin configurations. Our results indicate that the delayed three-photon fraction is 0.25% in water (or blood-like) samples and exhibits no (or exceedingly small) dependence on the dissolved oxygen content. If one assumes that the direct component contributes a fraction expected by annihilation on free electrons (1/372), then the total three-photon fraction is 0.52% in the samples of biological relevance.


PACS

87.57.uk Positron emission tomography (PET)

87.19.X- Diseases

87.53.-j Effects of ionizing radiation on biological systems

87.14.E- Proteins

87.53.Bn Dosimetry/exposure assessment

Subjects

Biological physics

Medical physics

Dates

Issue 17 (7 September 2006)

Received 16 March 2006, in final form 6 July 2006

Published 15 August 2006



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