Zero crossings of the differential scalar polarizability of Ba$^+$ clock transition

• URL: http://arxiv.org/abs/2603.10740v1
• Date: Wed, 11 Mar 2026 13:14:39 GMT
• Title: Zero crossings of the differential scalar polarizability of Ba$^+$ clock transition
• Abstract summary: We infer a ratio of reduced matrix elements $langle P_3/2|r|S_1/2rangle/langle P_1/2|r|S_1/2rangle=1.411,81$, which provides a stringent test of atomic structure calculations.<n>We discuss the achievable accuracy of the model, the application to the assessment of blackbody radiation (BBR) shifts in ion-based clocks, and the applicability of the approach to other alkalineearth ions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The differential scalar polarizability $Δα_0(ω)$ of the Ba$^+$ S$_{1/2}$-to-D$_{5/2}$ clock transition has a zero crossing near 481nm, which is measured to be 623.603\,13(17)\,THz. From this measurement, we infer a ratio of reduced matrix elements $\langle P_{3/2}\|r\|S_{1/2}\rangle/\langle P_{1/2}\|r\|S_{1/2}\rangle=1.411\,81(13)$, which provides a stringent test of atomic structure calculations and experimental determination of matrix elements. Additionally, it enables the construction of an accurate approximation to $Δα_0(ω)$, valid for frequencies up to 450\,THz, with only one reduced matrix element, $\langle P_{1/2}\|r\|S_{1/2}\rangle$, appearing in the model's parameterization. We discuss the achievable accuracy of the model, the application to the assessment of blackbody radiation (BBR) shifts in ion-based clocks, and the applicability of the approach to other alkaline-earth ions.

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