Part-per-billion measurement of the $4^2{S}_{1/2}\to 3^2{D}_{5/2}$ electric quadrupole transition isotope shifts between ${}^{42,44,48}$Ca${}^{+}$ and ${}^{40}$Ca${}^{+}$

Abstract

We report a precise measurement of the isotope shifts in the $4^2$S${}_{1/2}\to 3^2$D${}_{5/2}$ electric quadrupole transition at 729~nm in the ${}^{40-42,44,48}$Ca${}^{+}$. The measurement has been made via high-resolution laser spectroscopy of co-trapped ions, finding measured shifts of 2,771,872,467.6(7.6), 5,340,887,394.6(7.8), and 9,990,382,525.0(4.9) Hz between ${}^{42,44,48}$Ca${}^{+}$and ${}^{40}$Ca${}^{+}$, respectively. By exciting the two isotopes simultaneously using frequency sidebands derived from a single laser systematic uncertainties resulting from laser frequency drifts are eliminated. This permits far greater precision than similar previously published measurements in other alkaline-earth systems. The resulting measurement precision provides a benchmark for tests of theoretical isotope shift calculations, and also offers a step towards probing New Physics via isotope shift spectroscopy.

9 pages, 7 figures updated 5/2023 to correct sign error in original data analysis. Erratum submitted to Phys. Rev. A

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