Anomalous magnetic moment of the positronium ion

We determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that the g -factor is modified by a term $-0.51\left( 1 \right){{\alpha }^{2}}$ , exceeding 15 times the ${{\alpha }^{2}}$ co...

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Main Authors: Yi Liang, Paul L McGrath, Andrzej Czarnecki
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/6/063045
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author Yi Liang
Paul L McGrath
Andrzej Czarnecki
author_facet Yi Liang
Paul L McGrath
Andrzej Czarnecki
author_sort Yi Liang
collection DOAJ
description We determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that the g -factor is modified by a term $-0.51\left( 1 \right){{\alpha }^{2}}$ , exceeding 15 times the ${{\alpha }^{2}}$ correction for a free electron. We compare this effect with analogous results found previously in atomic positronium and in hydrogen-like ions.
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spelling doaj.art-18d11120a36d44ca8940ef925647dbbc2023-08-08T11:29:21ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116606304510.1088/1367-2630/16/6/063045Anomalous magnetic moment of the positronium ionYi Liang0Paul L McGrath1Andrzej Czarnecki2Department of Physics , University of Alberta, Edmonton, Alberta T6G 2E1, CanadaDepartment of Physics , University of Alberta, Edmonton, Alberta T6G 2E1, CanadaDepartment of Physics , University of Alberta, Edmonton, Alberta T6G 2E1, CanadaWe determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that the g -factor is modified by a term $-0.51\left( 1 \right){{\alpha }^{2}}$ , exceeding 15 times the ${{\alpha }^{2}}$ correction for a free electron. We compare this effect with analogous results found previously in atomic positronium and in hydrogen-like ions.https://doi.org/10.1088/1367-2630/16/6/063045anomalous magnetic momentpositronrelativistic effects
spellingShingle Yi Liang
Paul L McGrath
Andrzej Czarnecki
Anomalous magnetic moment of the positronium ion
New Journal of Physics
anomalous magnetic moment
positron
relativistic effects
title Anomalous magnetic moment of the positronium ion
title_full Anomalous magnetic moment of the positronium ion
title_fullStr Anomalous magnetic moment of the positronium ion
title_full_unstemmed Anomalous magnetic moment of the positronium ion
title_short Anomalous magnetic moment of the positronium ion
title_sort anomalous magnetic moment of the positronium ion
topic anomalous magnetic moment
positron
relativistic effects
url https://doi.org/10.1088/1367-2630/16/6/063045
work_keys_str_mv AT yiliang anomalousmagneticmomentofthepositroniumion
AT paullmcgrath anomalousmagneticmomentofthepositroniumion
AT andrzejczarnecki anomalousmagneticmomentofthepositroniumion