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Abstract

In this thesis, we theoretically investigate the 208Pb nuclear charge radius and the associated fine-structure anomaly, which is a discrepancy between the experimental measurements and theoretical predictions for the muonic 208Pb spectrum. By integrating state-of-the-art calculation methods for quantum electrodynamics corrections and a systematic uncertainty analysis, we perform a fit between theoretical and experimental muonic atom transition energies. This fit yields a new root-mean-square nuclear charge radius of 5.5062(5) fm for 208Pb. Meanwhile, fine-structure anomaly of muonic 208Pb is significantly reduced but the residual discrepancy remains larger than the predicted uncertainty. The calculation methods, including our improvement, the fitting procedure, and the uncertainty analysis are presented in details. Finally, we discuss the results and examine potential sources of the remaining anomaly.