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Soft photon spectrum in orthopositronium and vector quarkonium decays

2001/11/21 by J. Pestieau, C. Smith · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.1016/s0370-2693(01)01406-x

published as Phys.Lett. B524 (2002) 395-399 · LaTeX, 10 pages

arxiv created 2001/11/21 · openalex publication_date 2002/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

QED gauge invariance, when combined with analyticity, leads to constraints on the low energy end of the emitted photon spectra. This is known as Low's theorem. It is shown that the Ore–Powell result, as well as further developments for the orthopositronium differential decay rate, are in contradiction with Low's theorem, i.e., that their predicted soft photon spectra are incorrect. A solution to this problem is presented. The implications for the orthopositronium lifetime puzzle, the charmonium ρ–π puzzle, the prompt photon spectrum in inclusive quarkonium decays and the extraction of αS from quarkonium annihilation rates are briefly commented.

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