2017
DOI: 10.1103/physrevd.96.093002
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Parapositronium can decay into three photons

Abstract: We calculate the decay rate and spectrum for the decay of parapositronium into three photons. This process violates charge conjugation symmetry. It is forbidden within quantum electrodynamics but proceeds through the weak interaction. The branching ratio we find is fifty orders of magnitude smaller than the previous estimate.Comment: Accpted to PR

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Cited by 15 publications
(15 citation statements)
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“…Time reversal symmetry violations have not been observed in purely leptonic systems, so far [2][3][4][5]. The Standard Model predicts photon-photon or weak interaction to both give rise to phenomena mimicking a violation of the symmetry in the order of 10 −9 (photonphoton interaction) and 10 −13 (weak interactions), respectively [3,4,[11][12][13]. There is a difference of about 6 orders of magnitude between the present experimental upper limit and the standard model predictions [5,14,15].…”
Section: Time-reversal Symmetrycontrasting
confidence: 49%
“…Time reversal symmetry violations have not been observed in purely leptonic systems, so far [2][3][4][5]. The Standard Model predicts photon-photon or weak interaction to both give rise to phenomena mimicking a violation of the symmetry in the order of 10 −9 (photonphoton interaction) and 10 −13 (weak interactions), respectively [3,4,[11][12][13]. There is a difference of about 6 orders of magnitude between the present experimental upper limit and the standard model predictions [5,14,15].…”
Section: Time-reversal Symmetrycontrasting
confidence: 49%
“…QED forbidden decays can proceed through weak interactions but with very small branching ratios because of the massive W and Z boson propagators that appear in these reactions. For example, the three photon decay of p-Ps is forbidden in QED but can occur through weak interactions involving a W-boson loop with branching ratio BR(p-Ps → 3γ) = 4.4 × 10 −77 [51]. Tiny branching ratios are found for decays into a photon and two neutrinos [52], less than about 10 −21 for o-Ps and 10 −24 for p-Ps.…”
Section: Qed Tests and α Measurementsmentioning
confidence: 99%
“…In principle weak interactions apply, but at a level that is very far away from any experiment currently conceivable [142,143]. Therefore Ps is extremely well described by (boundstate) quantum electrodynamics (QED) [144,145], and hence can be used to test the theory.…”
Section: Intrinsic Properties Of Positroniummentioning
confidence: 99%