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The finite nuclear size corrections to the ground state energies andg-factors in muonic atoms are investigated for several elements. Bothapproximative and exact solutions of the one-particle Dirac equation with boththe homogeneous sphere nucleus model and the Fermi distribution nucleus modelare presented, and the leading nuclear deformation effects on the g-factors andground state energies are also evaluated. The electronic, muonic, and hadronicelectric-loop vacuum polarization corrections are calculated for point-like,spherical, and Fermi nucleus models. The obtained results show a heavydependence on the chosen nuclear model, and highlight the importance ofconstructing precise theoretical models for the nucleus for accurate QEDpredictions of the observables of muonic atoms.

Impact of the nuclear charge distribution on the g-factors and ground state energies of bound muons