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

2024/05/10 by Alexei M. Frolov, Frolov, Alexei M.
Engineering · Medicine · Physics and Astronomy · #Atomic and Molecular Physics #Boron Compounds in Chemistry #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Muon and positron interactions and applications #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2405.06720

openalex publication_date 2024/05/10 · openalex created_date 2024/05/15 · openalex updated_date 2026/07/28

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 Γ^(b)_{1 γ} 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(2³S_e)] ions and other systems.

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