Shape function in QED and bound muon decays

2015/06/30 by Robert Szafron, Andrzej Czarnecki · 4 citations
Engineering · Physics and Astronomy · #Atom (system on chip) #Bound state #Energy spectrum #Field (mathematics) #Function (biology) #Muon #Muon and positron interactions and applications #Muonium #Neutrino Physics Research #Nuclear physics #Particle (ecology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #hep-ph

paper · pdf · doi:10.1103/physrevd.92.053004

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(5) (American Physical Society) · 5 pages, 3 figures v2: Corrected verrsion to appear in PRD

arxiv created 2015/09/07 · openalex publication_date 2015/09/11 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

When a particle decays in an external field, the energy spectrum of the products is smeared. We derive an analytical expression for the shape function accounting for the motion of the decaying particle and the final state interactions. We apply our result to calculate the muonium decay spectrum and comment on applications to the muon bound in an atom.

Citations

• Analysis of the photon spectrum in inclusiveB→Xsγdecays
• Radiatively corrected semileptonic spectra in B meson decays
• Shape and soft functions of HQET and SCET in the 't Hooft model
• QCD-based interpretation of the lepton spectrum in inclusiveB¯→Xuℓν¯decays
• Muon decay in orbit: Spectrum of high-energy electrons
• A Relativistic Equation for Bound-State Problems