dorsal/arxiv
View SchemaPrecision Spectroscopy of Atomic Hydrogen and Variations of Fundamental Constants
| Authors | M. Fischer, N. Kolachevsky, M. Zimmermann, R. Holzwarth, Th. Udem, T. W. Hänsch, M. Abgrall, J. Grünert, I. Maksimovic, S. Bize, H. Marion, F. Pereira Dos Santos, P. Lemonde, G. Santarelli, P. Laurent, A. Clairon, C. Salomon |
|---|---|
| Categories | |
| ArXiv ID | physics/0311128 |
| URL | https://arxiv.org/abs/physics/0311128 |
| DOI | 10.1007/b13178 |
| Journal | Lect.Notes Phys.648:209-227,2004 |
Abstract
In 2003 we have measured the absolute frequency of the $(1S, F=1, m_F=\pm 1) \leftrightarrow (2S, F'=1, m_F'=\pm 1)$ two-photon transition in atomic hydrogen. We observed a variation of $(-29\pm 57)$ Hz over a 44 months interval separating this measurement from the previous one performed in 1999. We have combined this result with recently published results of optical transition frequency measurement in the $^{199}$Hg$^+$ ion and and comparison between clocks based on $^{87}$Rb and $^{133}$Cs. From this combination we deduce the stringent limits for fractional time variation of the fine structure constant $\partial/{\partial t}(\ln \alpha)=(-0.9\pm 4.2)\times 10^{-15}$ yr$^{-1}$ and for the ratio of $^{87}$Rb and $^{133}$Cs spin magnetic moments $\partial/{\partial t}(\ln[\mu_{\rm {Rb}}/\mu_{\rm {Cs}}])=(0.5\pm 2.1)\times 10^{-15}$ yr$^{-1}$. This is the first precise restriction for the fractional time variation of $\alpha$ made without assumptions about the relative drifts of the constants of electromagnetic, strong and weak interactions.
{
"annotation_id": "6a73e9b2-e912-47e6-92a9-6486c1af1709",
"date_created": "2026-03-02T18:00:46.303000Z",
"date_modified": "2026-03-02T18:00:46.303000Z",
"file_hash": "d0ece78fe83e5bcbd8171e70a1abd0821263bb5d03549e4005830d2b572b07b6",
"private": false,
"record": {
"abstract": "In 2003 we have measured the absolute frequency of the $(1S, F=1, m_F=\\pm 1)\n\\leftrightarrow (2S, F\u0027=1, m_F\u0027=\\pm 1)$ two-photon transition in atomic\nhydrogen. We observed a variation of $(-29\\pm 57)$ Hz over a 44 months interval\nseparating this measurement from the previous one performed in 1999. We have\ncombined this result with recently published results of optical transition\nfrequency measurement in the $^{199}$Hg$^+$ ion and and comparison between\nclocks based on $^{87}$Rb and $^{133}$Cs. From this combination we deduce the\nstringent limits for fractional time variation of the fine structure constant\n$\\partial/{\\partial t}(\\ln \\alpha)=(-0.9\\pm 4.2)\\times 10^{-15}$ yr$^{-1}$ and\nfor the ratio of $^{87}$Rb and $^{133}$Cs spin magnetic moments\n$\\partial/{\\partial t}(\\ln[\\mu_{\\rm {Rb}}/\\mu_{\\rm {Cs}}])=(0.5\\pm 2.1)\\times\n10^{-15}$ yr$^{-1}$. This is the first precise restriction for the fractional\ntime variation of $\\alpha$ made without assumptions about the relative drifts\nof the constants of electromagnetic, strong and weak interactions.",
"arxiv_id": "physics/0311128",
"authors": [
"M. Fischer",
"N. Kolachevsky",
"M. Zimmermann",
"R. Holzwarth",
"Th. Udem",
"T. W. H\u00e4nsch",
"M. Abgrall",
"J. Gr\u00fcnert",
"I. Maksimovic",
"S. Bize",
"H. Marion",
"F. Pereira Dos Santos",
"P. Lemonde",
"G. Santarelli",
"P. Laurent",
"A. Clairon",
"C. Salomon"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1007/b13178",
"journal_ref": "Lect.Notes Phys.648:209-227,2004",
"title": "Precision Spectroscopy of Atomic Hydrogen and Variations of Fundamental Constants",
"url": "https://arxiv.org/abs/physics/0311128"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e3c4706b-b9ae-4d94-ad73-9c9f06d33dc5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}