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Correction to the hyperfine constant $A$ of an external s-electron inmany-electron atom caused by the Breit interaction is calculated analytically:$\delta A/A =0.68 Z\alpha^2$. Physical mechanism for this correction ispolarization of the internal electronic shells (mainly $1s^2$ shell) by themagnetic field of the external electron. This mechanism is similar to thepolarization of vacuum considered by Karplus and Klein long time ago. Thesimilarity is the reason why in both cases (Dirac sea polarization and internalatomic shells polarization) the corrections have the same dependence on thenuclear charge and fine structure constant.  In conclusion we also discuss $Z\alpha^2$ corrections to the parity violationeffects in atoms.Comment: 8 pages, 2 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Breit-interaction correction to the hyperfine constant of an external<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>electron in a many-electron atom

Breit-interaction correction to the hyperfine constant of an externalselectron in a many-electron atom