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- W3210508712 abstract "Decay rates of the positronium molecule $text{Ps}_{2}$ into two photons and into an electron-positron pair are determined. Previous studies find that these rates are very different, [ Gammaleft(text{Ps}_{2}to e^{+}e^{-}right)/Gammaleft(text{Ps}_{2}togammagammaright)simeq250text{ (previous studies)}. ] This is puzzling since both processes have two body final states and are of the same order in the fine structure constant. We propose a simple calculational method and test it with the well-established decay of the positronium ion into an electron and a photon. We then employ it to correct predictions for both these $text{Ps}_{2}$ decays. We find that previous studies overestimated the $e^{+}e^{-}$ and underestimated the $gammagamma$ channel by factors of about 5.44 and 3.93 respectively. Our results give $Gammaleft(text{Ps}_2to e^+e^-right)/Gammaleft(text{Ps}_2 to gammagammaright) simeq 11.7$." @default.
- W3210508712 created "2021-11-08" @default.
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- W3210508712 date "2021-11-03" @default.
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- W3210508712 title "Rare decays of the positronium ion and molecule, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mrow><mml:mi>Ps</mml:mi></mml:mrow><mml:mo>−</mml:mo></mml:msup></mml:math> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>→</mml:mo></mml:math> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>γ</mml:mi></mml:mrow></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/…" @default.
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- W3210508712 doi "https://doi.org/10.1103/physreva.104.052803" @default.
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