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Off-Diagonal Hyperfine Interaction and Parity Non-conservation in Cesium

V. A. Dzuba·V. V. Flambaum
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Abstract

We have performed relativistic many-body calculations of the hyperfine interaction in the $6s$ and $7s$ states of Cs, including the off-diagonal matrix element. The calculations were used to determine the accuracy of the semi-empirical formula for the electromagnetic transition amplitude $<6s|M1|7s>$ induced by the hyperfine interaction. We have found that even though the contribution of the many-body effects into the matrix elements is very large, the square root formula $<6s|H_{hfs}|7s > = \sqrt{< 6s|H_{hfs}|6s > < 7s|H_{hfs}|7s >}$ remains valid to the accuracy of a fraction of $10^{-3}$. The result for the M1-amplitude is used in the interpretation of the parity-violation measurement in the $6s-7s$ transition in Cs which claims a possible deviation from the Standard model.

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V. A. Dzuba, V. V. Flambaum. 2000-05-15. Off-Diagonal Hyperfine Interaction and Parity Non-conservation in Cesium. https://doi.org/10.1103/physreva.62.052101

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