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Ultrasoft Contribution to the Positronium Hyperfine Splitting Open Access

Descriptions

Other title
Subject/Keyword
hyperfine splitting
positronium
ultrasoft
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Marcu, Simona Rahela
Supervisor and department
Penin, Alexander (Physics)
Examining committee member and department
Troitsky, Vladimir (Mathematics)
Prus-Czarnecki, Andrzej (Physics)
Kravchinsky, Vadim (Physics)
Department
Department of Physics
Specialization

Date accepted
2011-10-03T04:09:15Z
Graduation date
2011-11
Degree
Master of Science
Degree level
Master's
Abstract
Positronium consists of an electron and positron in a bound state, a purely leptonic system and therefore an excellent test of QED (quantum electrodynamics). The ground state is characterized by two different spin configurations: spin-singlet and spin-triplet states. The difference between the corresponding energy levels is called the hyperfine splitting. Currently the discrepancy between theory and experiment is 3.9 standard deviations for this quantity. We are computing the ultrasoft contribution to the positronium hyperfine splitting. It represents the time-delayed exchange of a photon with energy of the order of the binding energy between the electron and positron. The full theoretical expression of the ultrasoft contribution was found using perturbation theory, and expansion of the positronium wavefunction at the origin about the Coulomb approximation. The expression was then evaluated using Mathematica and asymptotic approximations have been made when an exact numerical value could not be computed. The final result increases the discrepancy to 4.3 standard deviations. New experimental results are needed in order to solve the discrepancy.
Language
English
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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