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arXiv · 2405.06720

One-photon annihilation of the electron-positron pair at heavy atomic nuclei

Alexei M. Frolov
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Abstract

We investigate one-photon annihilation of the electron-positron pair in the field of a central, very heavy and positively charged atomic nucleus. The explicit formula for the annihilation rate of this process $\Gamma^{(b)}_{1 \gamma}$ is derived. Our formula for this rate can directly be used to describe the actual one-photon annihilation in the ground (bound) states of all positronium hydrides HPs, quasi-stable triplet states of the positron-helium atoms $e^{+}[$ He($2^{3}S_e$)] ions and other systems.

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Alexei M. Frolov. 2024-05-10. One-photon annihilation of the electron-positron pair at heavy atomic nuclei. https://arxiv.org/abs/2405.06720

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