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Ab initio calculations of the electron capture spectrum in 163Ho

Braß, Martin

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Abstract

Neutrino masses can be determined by measuring how released energies in electroncapture decay of 163Ho are distributed between created Neutrino and daughter atom.Therefore, theoretical calculations of the energy spectrum are necessary and are per-formed in this thesis by means of ab initio methods.Using techniques from core-level spectroscopy like exact diagonalization and con-figuration interaction, these calculations are capable of explaining and reproducingexperimentally observed spectral features including dominant resonances, multipletstructures and energy-dependent, asymmetric line-broadening due to the Auger-Meit-ner effect. While multiplets and resonances can be described by bound states, broad-ening is treated in terms of a self-energy describing coupling between those boundstates and unbound states having continuous energy spectrum. Calculations arecompared to experimental data and the totally released energy, or Q-value, is deter-mined using Bayesian parameter estimation. A different approach to determineQisPenning-trap mass-spectroscopy. There, the mass difference between ionized motherand daughter atom is measured, which needs to be corrected for binding energiesof the ions to determine the Q-value of neutral atoms. A scheme for binding energydetermination is presented and applied to Re29+ and Os29+ which may serve asa system for accuracy bench-marking of calculations and measurements.

Document type: Dissertation
Supervisor: Haverkort, Prof. Dr. Maurits W.
Place of Publication: Heidelberg
Date of thesis defense: 13 January 2021
Date Deposited: 20 Jan 2021 14:01
Date: 2021
Faculties / Institutes: The Faculty of Physics and Astronomy > Institute for Theoretical Physics
DDC-classification: 530 Physics
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