State of the art in the determination of the fine-structure constant and the ratio h/mu

Pierre Cladé; François Nez; François Biraben; Saïda Guellati-Khelifa

doi:10.1016/j.crhy.2018.12.003

The new International System of Units / Le nouveau Système international d'unités

State of the art in the determination of the fine-structure constant and the ratio h/m_u
[L'état de l'art de la détermination de la constante de structure fine et du rapport h/m_u]

Pierre Cladé ¹ ; François Nez ¹ ; François Biraben ¹ ; Saïda Guellati-Khelifa ^1,²

¹ Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS–PSL University, Collège de France, 4, place Jussieu, 75005 Paris, France
² Conservatoire national des arts et métiers, 292, rue Saint-Martin, 75003 Paris, France

Comptes Rendus. Physique, Volume 20 (2019) no. 1-2, pp. 77-91.

Résumé
Abstract

La constante de structure fine α et le rapport $h / m_{u}$ entre la constante de Planck et la masse atomique unifiée sont des constantes clés pour la détermination d'autres constantes physiques fondamentales, notamment celles impliquées dans le futur Système international d'unités. Cet article présente comment ces deux constantes, qui peuvent être déduites l'une de l'autre, sont mesurées. Nous présenterons en détail la mesure de $h / m_{Rb}$ effectuée par interférométrie atomique au laboratoire Kastler Brossel à Paris. Ce type de mesure permet également d'effectuer un test du modèle standard avec une précision inégalée.

The fine structure constant α and the ratio $h / m_{u}$ between the Planck constant and the unified atomic mass are keystone constants for the determination of other fundamental physical constants, especially the ones involved in the framework of the future International System of units. This paper presents how these two constants, which can be deduced from one another, are measured. We will present in detail the measurement of $h / m_{Rb}$ performed by atomic interferometry at the Laboratoire Kastler Brossel in Paris. This type of measurement also allows a test of the standard model to be carried out with unparalleled accuracy.

Publié le : 2019-01-01

DOI : 10.1016/j.crhy.2018.12.003

Keywords: Fine structure constant, Electron moment anomaly, Atom interferometry, International system of units
Mot clés : Constante de structure fine, Moment magnétique anormal de l'électron, Interférométrie atomique, Système d'unités international

Affiliations des auteurs :

Pierre Cladé ¹ ; François Nez ¹ ; François Biraben ¹ ; Saïda Guellati-Khelifa ^{1, 2}

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     title = {State of the art in the determination of the fine-structure constant and the ratio \protect\emph{h}/\protect\emph{m}\protect\textsubscript{u}},
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Pierre Cladé; François Nez; François Biraben; Saïda Guellati-Khelifa. State of the art in the determination of the fine-structure constant and the ratio h/m_u. Comptes Rendus. Physique, Volume 20 (2019) no. 1-2, pp. 77-91. doi : 10.1016/j.crhy.2018.12.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2018.12.003/

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