eprintid: 31317 rev_number: 39 eprint_status: archive userid: 6524 dir: disk0/00/03/13/17 datestamp: 2022-03-01 13:00:07 lastmod: 2022-03-04 07:06:42 status_changed: 2022-03-01 13:00:07 type: doctoralThesis metadata_visibility: show creators_name: Sailer, Tim title: Direct Bound-Electron g-Factor Difference Measurement of Coupled Ions at Alphatrap subjects: ddc-530 divisions: i-130200 adv_faculty: af-13 keywords: Penning trap, g Factor, coupled ions abstract: The Alphatrap experiment is a cryogenic Penning-trap setup with the main objective to determine the g factor of the electron bound to heavy nuclei. Within this thesis, the results of several such measurements are presented. Among these, the measurement of the g factor of 20Ne9+ exhibits a 3σ discrepancy between theory and experimental value, which has been attributed to the required input parameter of the atomic mass of 20Ne. An independent measurement has recently confirmed the deviation of the mass, fully resolving the discrepancy. Furthermore, a measurement of 22Ne9+ can be used to improve the precision of the atomic mass of 22Ne by a factor 8 compared to the literature value, when using the theoretically predicted g factor as an input. However, the main focus of this thesis is the development of a novel technique, which, based upon the coupling of two ions as an ion crystal, enables the most precise determination of a g-factor difference to date. This difference, determined for the isotopes 20Ne9+ and 22Ne9+ with a relative precision of 5.6 × 10−13 with respect to the g factor, improves the precision for isotopic shifts of g factors by about two orders of magnitude. Based upon the agreement with theory, the quantum electrodynamic contribution to the nuclear recoil can be confirmed. Alternatively, the result can be applied to improve the precision of the charge radius difference of the isotopes by about one order of magnitude or to constrain new physics by limiting a potential fifth-force of the Higgs-portal mechanism. date: 2022 id_scheme: DOI id_number: 10.11588/heidok.00031317 ppn_swb: 1794378499 own_urn: urn:nbn:de:bsz:16-heidok-313170 date_accepted: 2022-02-16 advisor: HASH(0x55fc36d34150) language: eng bibsort: SAILERTIMDIRECTBOUN2022 full_text_status: public place_of_pub: Heidelberg citation: Sailer, Tim (2022) Direct Bound-Electron g-Factor Difference Measurement of Coupled Ions at Alphatrap. [Dissertation] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/31317/1/Thesis_Sailer.pdf