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Investigations of isotope shifts of atomic spectral lines provide insightsinto nuclear properties. Deviations from the linear dependence of the isotopeshifts of two atomic transitions on nuclear parameters, leading to anonlinearity of the so-called King plot, are actively studied as a possible wayof searching for the new physics. In the present work we calculate theKing-plot nonlinearities originating from the Standard-Model atomic theory. Thecalculation is performed both analytically, for a model example applicable foran arbitrary atom, and numerically, for one-electron ions. It is demonstratedthat the Standard-Model predictions of the King-plot nonlinearities arehypersensitive to experimental errors of nuclear charge radii. This effectsignificantly complicates identifications of possible King-plot nonlinearitiesoriginating from the new physics.

Nonlinearities of King's plot and their dependence on nuclear radii