The European Physical Journal C

ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)

Table of Contents

Abstract Volume 5 Issue 3 (1998) pp 535-543
DOI 10.1007/s100529800864

theoretical physics:
Some ${\rm O}(\alpha^2)$ annihilation type contributions to the orthopositronium width

V. Antonelli (1), V. Ivanchenko (2), E. Kuraev (3), V. Laliena (1)

(1) Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
(2) Institute of Nuclear Physics, Siberian Division, 630090 Novosibirsk, Russia
(3) JINR, 141980 Dubna, Russia

Received: 10 December 1997 / Published online: 24 March 1998

Abstract. We consider some radiative corrections to the lowest order annihilation diagram for the orthopositronium decay rate. The insertion of the renormalized vertex correction in the annihilation graph gives $1.6278 (\alpha/\pi)^2\, \Gamma_0$. We compute also the contribution of the square of the lowest order annihilation amplitude, which turns out to be $0.1702\,(\alpha/\pi)^2\,\Gamma_0$. Finally, we obtain a term $\alpha^2\,\ln\alpha\,\Gamma_0$ arising from the correction to the light-light scattering block due to the exchange of one coulombic photon, in agreement with earlier computations.

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Online publication: September 24, 1998
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