Fine-structure constant sensitivity of the Th-229 nuclear clock transition
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arXiv
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| Main Authors: | , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929435408596992 |
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| author | Beeks, Kjeld Kazakov, Georgy A. Schaden, Fabian Morawetz, Ira de Col, Luca Toscani Riebner, Thomas Bartokos, Michael Sikorsky, Tomas Schumm, Thorsten Zhang, Chuankun Ooi, Tian Higgins, Jacob S. Doyle, Jack F. Ye, Jun Safronova, Marianna S. |
| author_facet | Beeks, Kjeld Kazakov, Georgy A. Schaden, Fabian Morawetz, Ira de Col, Luca Toscani Riebner, Thomas Bartokos, Michael Sikorsky, Tomas Schumm, Thorsten Zhang, Chuankun Ooi, Tian Higgins, Jacob S. Doyle, Jack F. Ye, Jun Safronova, Marianna S. |
| contents | State-resolved laser spectroscopy at the 10$^{-12}$ precision level recently reported in $arXiv$:2406.18719 determined the fractional change in nuclear quadrupole moment between the ground and isomeric state of $^{229}\rm{Th}$, $ΔQ_0/Q_0$=1.791(2) %. Assuming a prolate spheroid nucleus, this allows to quantify the sensitivity of the nuclear transition frequency to variations of the fine-structure constant $α$ to $K=5900(2300)$, with the uncertainty dominated by the experimentally measured charge radius difference $Δ\langle r^2 \rangle$ between the ground and isomeric state. This result indicates a three orders of magnitude enhancement over atomic clock schemes based on electron shell transitions. We find that $ΔQ_0$ is highly sensitive to tiny changes in the nuclear volume, thus the constant volume approximation cannot be used to accurately relate changes in $\langle r^2 \rangle$ and $Q_0$. The difference between the experimental and estimated values in $ΔQ_0/Q_0$ raises a further question on the octupole contribution to the alpha-sensitivity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_17300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fine-structure constant sensitivity of the Th-229 nuclear clock transition Beeks, Kjeld Kazakov, Georgy A. Schaden, Fabian Morawetz, Ira de Col, Luca Toscani Riebner, Thomas Bartokos, Michael Sikorsky, Tomas Schumm, Thorsten Zhang, Chuankun Ooi, Tian Higgins, Jacob S. Doyle, Jack F. Ye, Jun Safronova, Marianna S. Nuclear Theory Nuclear Experiment Atomic Physics State-resolved laser spectroscopy at the 10$^{-12}$ precision level recently reported in $arXiv$:2406.18719 determined the fractional change in nuclear quadrupole moment between the ground and isomeric state of $^{229}\rm{Th}$, $ΔQ_0/Q_0$=1.791(2) %. Assuming a prolate spheroid nucleus, this allows to quantify the sensitivity of the nuclear transition frequency to variations of the fine-structure constant $α$ to $K=5900(2300)$, with the uncertainty dominated by the experimentally measured charge radius difference $Δ\langle r^2 \rangle$ between the ground and isomeric state. This result indicates a three orders of magnitude enhancement over atomic clock schemes based on electron shell transitions. We find that $ΔQ_0$ is highly sensitive to tiny changes in the nuclear volume, thus the constant volume approximation cannot be used to accurately relate changes in $\langle r^2 \rangle$ and $Q_0$. The difference between the experimental and estimated values in $ΔQ_0/Q_0$ raises a further question on the octupole contribution to the alpha-sensitivity. |
| title | Fine-structure constant sensitivity of the Th-229 nuclear clock transition |
| topic | Nuclear Theory Nuclear Experiment Atomic Physics |
| url | https://arxiv.org/abs/2407.17300 |