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Annihilation of the electron-positron pairs in polyelectrons

By Alexei M. Frolov and Farrukh A. Chishtie


Annihilation of the electron-positron pairs (or (e − , e +)−pairs, for short) in various polyelectrons e + ne − m = e − me + n (where n ≥ 1 and m ≥ 1) is considered. In particular, we discuss the three- and four-photon annihilation of the (e − , e +)−pairs in the three-body Ps − ion and four-body bi-positronium system Ps2. It is shown that the five-body e + 2 e−3 ion is an unbound system. The closed form expression is derived for the amplitude-square | M |2 of the threephoton annihilation of (e − , e +)−pair at arbitrary energies of the colliding particles. Analogous amplitude-square | M | 2 for the four-photon annihilation is reduced to the form which convenient for future analytical calculations. A method which can be used to produce macroscopic polyelectrons is briefly discussed. PACS: 36.10.-k and 36.10.Dr 1

Year: 2008
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