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Permanent link (DOI): https://doi.org/10.7939/R3NS8Q

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On the Application of Effective Field Theory Methods to Polyelectrons Open Access

Descriptions

Other title
Subject/Keyword
polyelectrons
effective field theory
positronium
dipositronium
gaussian
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
McGrath, Paul
Supervisor and department
Czarnecki, Andrzej (Physics)
Examining committee member and department
Penin, Alexander (Physics)
Page, Don (Physics)
Brown, Alex (Chemistry)
Department
Department of Physics
Specialization

Date accepted
2010-01-15T16:23:34Z
Graduation date
2010-06
Degree
Master of Science
Degree level
Master's
Abstract
A recent study of the positronium atom showed that the energy levels could be determined numerically using an effective field theory just as easily as the underlying true theory. Here, we expand on this idea by modeling the three-body positronium-ion and four-body di-positronium molecule with low-energy effective field theories. We then compare the results obtained using the effective theories to those found in a similar manner with the true theory to determine if numerical calculations will converge more quickly using the effective field theory due to removal of the Coulomb divergence. Finally, with the necessary framework in place, we calculate a matrix element needed to evaluate the correction to the magnetic moment of the positronium-ion due to the interaction between the positron and the two electrons which form a spin singlet.
Language
English
DOI
doi:10.7939/R3NS8Q
Rights
License granted by Paul McGrath (plmcgrat@ualberta.ca) on 2010-01-14T21:23:44Z (GMT): 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 the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein 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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