title: Isotope dependence of the Zeeman effect in lithium-like calcium.
abstract: The magnetic moment μ of a bound electron, generally expressed by the g-factor μ=-g μB s ħ(-1) with μB the Bohr magneton and s the electron's spin, can be calculated by bound-state quantum electrodynamics (BS-QED) to very high precision. The recent ultra-precise experiment on hydrogen-like silicon determined this value to eleven significant digits, and thus allowed to rigorously probe the validity of BS-QED. Yet, the investigation of one of the most interesting contribution to the g-factor, the relativistic interaction between electron and nucleus, is limited by our knowledge of BS-QED effects. By comparing the g-factors of two isotopes, it is possible to cancel most of these contributions and sensitively probe nuclear effects. Here, we present calculations and experiments on the isotope dependence of the Zeeman effect in lithium-like calcium ions. The good agreement between the theoretical predicted recoil contribution and the high-precision g-factor measurements paves the way for a new generation of BS-QED tests.
authors.affiliation: Atomic Physics Division and Superheavy Element Physics Division, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany.|Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Florian
authors.initials: F
authors.lastname: Köhler
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Klaus
authors.initials: K
authors.lastname: Blaum
authors.affiliation: Atomic Physics Division and Superheavy Element Physics Division, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany.|Superheavy Element Physics Division, Helmholtz-Institut Mainz, Johann-Joachim Becherweg 36, 55128 Mainz, Germany.|Institut für Kernchemie, Johannes Gutenberg-Universität, Fritz Strassmann Weg 2, 55128 Mainz, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Block
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.|Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg 198504, Russia.
authors.forename: Stanislav
authors.initials: S
authors.lastname: Chenmarev
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Sergey
authors.initials: S
authors.lastname: Eliseev
authors.affiliation: Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg 198504, Russia.|Department of Physics, Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstraße 13, 01062 Dresden, Germany.|Institute for Theoretical and Experimental Physics, Kurchatov Institute, B. Cheremushkinskaya street 25, Moscow 117218, Russia.
authors.forename: Dmitry A
authors.identifier: http://orcid.org/0000-0002-4158-6963
authors.initials: DA
authors.lastname: Glazov
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Mikhail
authors.initials: M
authors.lastname: Goncharov
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Jiamin
authors.initials: J
authors.lastname: Hou
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Anke
authors.initials: A
authors.lastname: Kracke
authors.affiliation: Petersburg Nuclear Physics Institute, Gatchina, 188300 St Petersburg, Russia.
authors.forename: Dmitri A
authors.initials: DA
authors.lastname: Nesterenko
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.|Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg 198504, Russia.|Petersburg Nuclear Physics Institute, Gatchina, 188300 St Petersburg, Russia.
authors.forename: Yuri N
authors.initials: YN
authors.lastname: Novikov
authors.affiliation: Atomic Physics Division and Superheavy Element Physics Division, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany.
authors.forename: Wolfgang
authors.initials: W
authors.lastname: Quint
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Enrique
authors.initials: E
authors.lastname: Minaya Ramirez
authors.affiliation: Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg 198504, Russia.
authors.forename: Vladimir M
authors.initials: VM
authors.lastname: Shabaev
authors.affiliation: Stored and Cooled Ions Division, Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany.
authors.forename: Sven
authors.initials: S
authors.lastname: Sturm
authors.affiliation: Department of Physics, St Petersburg State University, Ulianovskaya 1, Petrodvorets, St Petersburg 198504, Russia.|Department of Physics, Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstraße 13, 01062 Dresden, Germany.
authors.forename: Andrey V
authors.initials: AV
authors.lastname: Volotka
authors.affiliation: Institut für Physik, Johannes Gutenberg-Universität, Staudingerweg 7, 55128 Mainz, Germany.
authors.forename: Günter
authors.initials: G
authors.lastname: Werth