Proceedings of the 2nd International Workshop on Antimatter and Gravity (WAG 2013); University of Bern, Switzerland, 13-15 November 2013; Editors: Claude Amsler and Paola ScampoliOpen Access

A spectroscopy approach to measure the gravitational mass of antihydrogen

A. Yu. Voronin

P.N. Lebedev Physical Institute, 53 Leninsky prospect, 117924 Moscow, Russia

Presenter.

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V. V. Nesvizhevsky

Institut Max von Laue - Paul Langevin (ILL), 6 rue Jules Horowitz, F-38042, Grenoble, France

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G. Dufour

Laboratoire Kastler-Brossel, CNRS, ENS, UPMC, Campus Jussieu, 75252, Paris, France

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P. Debu

Institut de Recherche sur les Lois Fondamentales de l'Univers, CEA-Saclay, 91191, Gif-sur-Yvette, France

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A. Lambrecht

Laboratoire Kastler-Brossel, CNRS, ENS, UPMC, Campus Jussieu, 75252, Paris, France

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S. Reynaud

Laboratoire Kastler-Brossel, CNRS, ENS, UPMC, Campus Jussieu, 75252, Paris, France

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O. D. Dalkarov

P.N. Lebedev Physical Institute, 53 Leninsky prospect, 117924 Moscow, Russia

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E. A. Kupriyanova

P.N. Lebedev Physical Institute, 53 Leninsky prospect, 117924 Moscow, Russia

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, and

P. Froelich

Department of Quantum Chemistry, Uppsala University, Box 518, SE-75120 Uppsala, Sweden

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https://doi.org/10.1142/S201019451460266XCited by:4 (Source: Crossref)

Abstract

We study a method to induce resonant transitions between antihydrogen quantum states above a material surface in the gravitational field of the Earth. The method consists of applying a gradient of magnetic field, which is temporally oscillating with the frequency equal to a frequency of transition between gravitational states of antihydrogen. A corresponding resonant change in the spatial density of antihydrogen atoms could be measured as a function of the frequency of applied field. We estimate an accuracy of measuring antihydrogen gravitational states spacing and show how a value of the gravitational mass of the atom could be deduced from such a measurement. We also demonstrate that a method of induced transitions could be combined with a free-fall-time measurement in order to further improve the precision.

This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 3.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

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