title: Test of time dilation using stored Li+ ions as clocks at relativistic speed.
abstract: We present the concluding result from an Ives-Stilwell-type time dilation experiment using 7Li+ ions confined at a velocity of β=v/c=0.338 in the storage ring ESR at Darmstadt. A Λ-type three-level system within the hyperfine structure of the 7Li+3S1 →3P2 line is driven by two laser beams aligned parallel and antiparallel relative to the ion beam. The lasers' Doppler shifted frequencies required for resonance are measured with an accuracy of <4×10(-9) using optical-optical double resonance spectroscopy. This allows us to verify the special relativity relation between the time dilation factor γ and the velocity β, γ√1-β2=1 to within ±2.3×10(-9) at this velocity. The result, which is singled out by a high boost velocity β, is also interpreted within Lorentz invariance violating test theories.
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Kernchemie, 55128 Mainz, Germany.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Botermann
authors.affiliation: Max-Planck-Institut für Kernphysik, 69117 Heidelberg, Germany.
authors.forename: Dennis
authors.initials: D
authors.lastname: Bing
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Kernchemie, 55128 Mainz, Germany and GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany and Helmholtzinstitut Mainz, 55128 Mainz, Germany.
authors.forename: Christopher
authors.initials: C
authors.lastname: Geppert
authors.affiliation: Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3 T 2N2, Canada.
authors.forename: Gerald
authors.initials: G
authors.lastname: Gwinner
authors.affiliation: Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany.
authors.forename: Theodor W
authors.initials: TW
authors.lastname: Hänsch
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Physik, 55128 Mainz, Germany.
authors.forename: Gerhard
authors.initials: G
authors.lastname: Huber
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Physik, 55128 Mainz, Germany.
authors.forename: Sergei
authors.initials: S
authors.lastname: Karpuk
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Kernchemie, 55128 Mainz, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Krieger
authors.affiliation: GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Kühl
authors.affiliation: Johannes Gutenberg-Universität Mainz, Institut für Kernchemie, 55128 Mainz, Germany and GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany and TU Darmstadt, Institut für Kernphysik, 64289 Darmstadt, Germany.
authors.forename: Wilfried
authors.initials: W
authors.lastname: Nörtershäuser
authors.affiliation: Helmholtzinstitut Mainz, 55128 Mainz, Germany.
authors.forename: Christian
authors.initials: C
authors.lastname: Novotny
authors.affiliation: Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany.
authors.forename: Sascha
authors.initials: S
authors.lastname: Reinhardt
authors.affiliation: Helmholtzinstitut Mainz, 55128 Mainz, Germany.
authors.forename: Rodolfo
authors.initials: R
authors.lastname: Sánchez
authors.affiliation: Max-Planck-Institut für Kernphysik, 69117 Heidelberg, Germany.
authors.forename: Dirk
authors.initials: D
authors.lastname: Schwalm
authors.affiliation: GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Stöhlker
authors.affiliation: Max-Planck-Institut für Kernphysik, 69117 Heidelberg, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Wolf
authors.affiliation: Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany.
authors.forename: Guido
authors.initials: G
authors.lastname: Saathoff