Relativistic many-body approach to hyperfine interaction in rare earths: Explanation of experimental result in europium

Abstract
A first-principles relativistic many-body treatment is carried out for the hyperfine constant in europium atom. This investigation has allowed us to sort out for the first time all the contributing physical mechanisms, core polarization, correlation, relativistic modifications of these, and the purely relativistic Casimir and breakdown of LS coupling effects. It is found that all these competing contributions have to be accurately evaluated to successfully explain the observed small hyperfine constant.

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