Berlin 2014 – scientific programme

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A: Fachverband Atomphysik

A 2: Precision spectroscopy of atoms and ions I (with Q)

A 2.3: Talk

Monday, March 17, 2014, 11:00–11:15, BEBEL E42

Theoretical calculations for the determination of the electron mass via measurement of the g-factor of ¹²C⁵⁺ — •Jacek Zatorski¹, Zoltán Harman^1,2, and Christoph H. Keitel¹ — ¹Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany — ²ExtreMe Matter Institute EMMI, Planckstraße 1, 64291 Darmstadt, Germany

We present theoretical results of a recent determination of the electron mass (Ref. [1]) via measurement of the bound electron g-factor in ¹²C⁵⁺. The electron mass was determined with a relative uncertainty approximately 13 times lower than the established CODATA value (Ref. [2]) by means of comparison of theoretical prediction for g(¹²C⁵⁺) and the experimental value. In order to reduce an error bar on the theory’s side, we, first of all, estimated the unknown two-loop higher-order correction to g(¹²C⁵⁺), which is the main source of the uncertainty, by extracting this effect from experimental results for g(²⁸Si¹³⁺). In addition, we have improved on the accuracy of certain other physical terms contributing to the g-factor.