Noncommutative QED and the Lifetimes of Ortho and Para Positronium

Abstract

We examine the implications of including corrections associated with the noncommutative extension of quantum electrodynamics - NCQED - to the decays of the ortho and para positronium (\Trip and \Sing) ground states. In NCQED, the well known charge conjugation argument restricting \Trip decays to an odd number of photons and \Sing decays to an even number of photons no longer obtains. Instead, the dominant two photon decay mode of \Sing is accompanied by a three photon mode. The dominant three photon decay mode of \Trip receives a NCQED correction, but there is no corresponding two photon decay mode in the weak binding limit. These corrections to the $P_s$ three photon decay mode have a different energy distribution, but their effect is too small to explain any discrepancy between the observed and calculated values of the \Trip lifetime.

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Cited by in corpus (12)

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• Noncommutative quantum mechanics and Bohm's ontological interpretation
• Noncommutative QED corrections to e^+e^-\toγγγat linear collider energies
• On The Bound States Of Photons In Noncommutative Quantum Electrodynamics
• Parapositronium can decay into three photons
• Towards Noncommutative Fuzzy QED
• Noncommutative QCD corrections to the gluonic decays of heavy quarkonia
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• Non-Commutative Extensions of the Standard Model