Deuteron-to-Proton Mass Ratio from the Cyclotron Frequency Ratio of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> in a Resolved Vibrational State
David J. Fink, E. G. Myers
Abstract
We have measured cyclotron frequency ratios of H_{2}^{+} to D^{+} with sufficient precision to resolve the mass increase of H_{2}^{+} due to vibrational energy. Additional discrimination against excited vibrational levels was provided by increasing the rate of vibrational decay through Stark quenching. From our results we obtain a value for the deuteron-to-proton mass ratio, m_{d}/m_{p}=1.999 007 501 274(38), which has an uncertainty three times smaller than the current CODATA value.
Topics & Concepts
CyclotronProtonDeuteriumPhysicsExcited stateAtomic physicsEnergy (signal processing)Mass ratioNuclear physicsAnalytical Chemistry (journal)PlasmaChemistryQuantum mechanicsChromatographyAstrophysicsAtomic and Molecular PhysicsNuclear Physics and ApplicationsScientific Measurement and Uncertainty Evaluation