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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Received: 10 December 1997 / Published online: 24 March 1998
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Antonelli, V., Ivanchenko, V., Kuraev, E. et al. Some \({\rm O}(\alpha^2)\) annihilation type contributions to the orthopositronium width. Eur. Phys. J. C 5, 535–543 (1998). https://doi.org/10.1007/s100529800864
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DOI: https://doi.org/10.1007/s100529800864