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The Oklo bound on the time variation of the fine-structure constant revisited
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“Damour and Dyson (1996), Fujii et al. (2000) also assumed a Maxwell distribution but let the moderator temperature vary so that they deduce an effective cross-section rðR r ; TÞ.They respectively restricted the temperature range to 180 C”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Damour and Dyson (1996)
In the citing paper
“and (Gould et al. 2006)”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Damour and Dyson (1996)
In the citing paper
“In particular this analysis (Damour and Dyson 1996) showed that the Bethe-Weiza ¨cker formula overestimates by about a factor the 2 the a EM -sensitivity to the resonance energy.”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Damour and Dyson (1996)
In the citing paper
“It follows from this analysis that a EM DE r Da EM ' À1:1 MeV:ð164Þ”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Damour and Dyson (1996)
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“The latter ones include geophysical methods such as the natural nuclear reactor that operated about 1.8 109 years ago in Oklo, Gabon (Damour and Dyson 1996; Fujii et al. 2000, 2002), the analysis of natural long-lived β decayers in geological minerals and meteorites (Dyson 1966; Sisterna and…”
BackgroundInfluentialEffects of the variation of fundamental constants on Population III stellar evolution
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“On a longer timescale, it was demonstrated that αem cannot have varied by more than 10−7 over the last 2 Gyr from the Oklo phenomenon (Shlyakhter 1976; Damour & Dyson 1996; Fujii et al. 2000; Olive et al. 2002; Petrov et al. 2006; Flambaum & Wiringa 2009) and over the last 4.5 Gyr from meteorite…”
BackgroundMethodInfluentialExperimental tests of general relativity: recent progress and future directions
Турышев, В. Г. (2009) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0179.200901a.0003 · Cited by 44
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“Additionally, there is a strong constraint on the variation of the EM coupling from the Oklo natural fission reactor [49], which constrains”
BackgroundA new era of fine structure constant measurements at high redshift
Milaković, D., Lee, C.-C., Carswell, R. F., Webb, J. K., Molaro, P. P., & Pasquini, L. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa3217 · Cited by 43
“Variations inα and µ have been explored both on Earth through atomic clock measurements (Rosenband et al. 2008), isotope ratio studies (Damour & Dyson 1996), and in space using astronomical observations of white dwarfs (Berengut et al. 2013; Bainbridge et al. 2017), galaxies (Bahcall et al. 2004),…”
BackgroundThe structure of the world from pure numbers
Tipler, F. J. (2005) · Reports on Progress in Physics · doi:10.1088/0034-4885/68/4/r04 · Cited by 44
“[52] Damour Thibault and Dyson Freeman J 1996 “The Oklo bound on the time variation of the fine-structure constant revisited” Nuc Phys B 48037-54.”
Constraining nonstandard recombination: A worked example
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“The geophysical considerations are complicated, but the many reanalyses (Shlyakhter 1976; Damour and Dyson 1996) argue for reliability of the bound.”
BackgroundTesting Theories That Predict Time Variation of Fundamental Constants
Landau, S. J., & Vucetich, H. (2002) · The Astrophysical Journal · doi:10.1086/339775 · Cited by 36
“…limits on the time variation of fundamental constants follows from an analysis of isotope ratios of 149 Sm = 147 Sm in the natural uranium fission reactor that operated 1 : 8 (cid:2) 10 9 yr ago at the present-day site of the Oklo mine in Gabon, Africa (Schlyakter 1976; Damour & Dyson 1996).”
InfluentialCOSMOLOGY WITH VARYING CONSTANTS
Martins, C. J. A. P. (2001) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2002.1087 · Cited by 47
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Two-scalar model for a small but nonzero cosmological constant
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Ashenfelter, T. P., Mathews, G. J., & Olive, K. A. (2004) · The Astrophysical Journal · doi:10.1086/423929 · Cited by 34
“The strongest limit is based on the 149Sm resonant neutron-capture cross section operating in the Oklo natural fission reactor (Shlyakhter 1976; Damour & Dyson 1996; Fujii et al. 2000) about 2 billion years ago (z 0:15).”
BackgroundSaid, J. L., Mifsud, J., Parkinson, D., Saridakis, E. N., Sultana, J., & Adami, K. Z. (2020) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2020/11/047 · Cited by 33
“The latter ones consist of geophysical analyses of samples from the natural nuclear reactor in Oklo [87, 88], meteorites [89], and laboratory atomic clocks [90–92].”
BackgroundVarying-alpha cosmologies with potentials
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Self-citationDoes the Fine-Structure Constant Really Vary in Time?
Livio, M., & Stiavelli, M. (1998) · The Astrophysical Journal · doi:10.1086/311664 · Cited by 33
“More recently, Damour and Dyson (1996) have derived the less strong but more robust limit of |ǫ̇/ǫ| 3.4× 10−7Ho, which we will adopt in the following.”
BackgroundInfluentialChiba, T., Kobayashi, T., Yamaguchi, M., & Jun’ichi Yokoyama, B. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.043516 · Cited by 32
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“The possibility that some constants of Nature could vary in space-time has remained a subject of fascination which has motivated numerous theoretical and experimental researches [88, 89].”
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Barrow, J. D. (2010) · Annalen der Physik · doi:10.1002/andp.201010416 · Cited by 29
Electroweak baryogenesis from temperature-varying couplings
Ellis, S. A. R. (2023) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · doi:10.1007/jhep08%282019%29002 · Cited by 39
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Damour, T. (2000) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(99)00828-2 · Cited by 27
Self-citationIs the weak interaction constant really constant?
Barabash, A. S. (2000) · The European Physical Journal A · doi:10.1007/s100500070128 · Cited by 28
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Stefanescu, P. (2007) · New Astronomy · doi:10.1016/j.newast.2007.06.004 · Cited by 26
“From the Oklo natural nuclear reactor in Gabon, the relative time variation of α has been obtained as −0.9 × 10−7 ∆α 1.2 × 10 −7 at z ∼ 0.1 (Damour & Dyson , 1996).”
InfluentialHolanda, R. F. L., Pereira, S. H., & da Costa, S. S. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.084006 · Cited by 25
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Fundamental Constants and Tests of General Relativity—Theoretical and Cosmological Considerations
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“It was argued (Damour and Dyson, 1996) on the basis of a model of the samarium nuclei that the energy of the resonance is mainly sensitive to α so that the only relevant parameter isdα ∼ −1.1 × 107.”
BackgroundInfluentialRemarks on dynamical stabilization of internal spaces in multidimensional cosmology
Günther, U., & Zhuk, A. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/8/303 · Cited by 23
Were Fundamental Constants Different in the Past?
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Constraints on a possible variation of the fine structure constant from galaxy cluster data
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Constraints on a possible variation of the fine structure constant from galaxy cluster data
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Fine structure constant variation from a late phase transition
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Tobar, M. E., & Hartnett, J. G. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.062001 · Cited by 22
“Alternative approaches examine astrophysical and geophysical data [4, 5].”
BackgroundTesting theories that predict time variation of fundamental constantsPreprint
Landau, S. J., & Vucetich, H. (2000) · Cited by 23
Motion in Alternative Theories of Gravity
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Probing spatial variation of the fine-structure constant using the CMB
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Galaxy clusters, type Ia supernovae and the fine structure constant
Holanda, R. F. L., Busti, V. C., Colaço, L. R., Alcaniz, J. S., & Landau, S. J. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/08/055 · Cited by 20
“Local experiments include geophysical methods such as the natural nuclear reactor that operated about 1.8 × 109 years ago in Oklo, Gabon (Damour & Dyson 1996; Petrov et al. 2006, Gould et al 2006; Onegin 2012) and laboratory measurements of atomic clocks with different atomic numbers (Fisher et al. 2004, Peik et al. 2…”
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“…an outline of the expected dependence of Milankovitch timescales upon Solar mass, based 3 A notable example was the use of the Proterozoic-age natural nuclear reactor at Oklo, Gabon—used to constrain the ancient atomic fine structure constant (Damour & Dyson 1996). upon analytic scaling arguments.”
MethodA dS obstruction and its phenomenological consequences
Montero, M., Riet, T. V., & Venken, G. (2020) · Journal of High Energy Physics · doi:10.1007/jhep05(2020)114 · Cited by 20
“If this interpretation is correct, Bousso beading is not a vacuum instability any more than particle production in any de Sitter background (also higher-dimensional ones) is.”
The role of mass spectrometry to study the Oklo–Bangombé natural reactors
Laeter, J. R. D., & Hidaka, H. (2007) · Mass Spectrometry Reviews · doi:10.1002/mas.20141 · Cited by 20
Possible variations of the fine structure constant α and their metrological significance
Bronnikov, K. A., & Kononogov, S. A. (2006) · Metrologia · doi:10.1088/0026-1394/43/5/r01 · Cited by 20
Time evolution of the fine structure constant in a two-field quintessence model
Bento, M. C., Orfeu Bertolami, A., & Santos, N. M. C. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.107304 · Cited by 20
Gardner, C. L. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.043513 · Cited by 20
Time variation of the fine structure constant in the early universe and the Bekenstein model
MOSQUERA, M. E., Scóccola, C. G., Landau, S. J., & Vucetich, H. (2007) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20078605 · Cited by 20
“Thus, a shift in the lowest lying resonance level in 149Sm : ∆ = E149(Oklo)r −E149(now)r can be derived from a shift in the neutron capture cross section of the same nucleus (Fujii et al. 2000; Damour & Dyson 1996).”
BackgroundVarying alpha, thresholds and fermion masses
Dent, T. (2003) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2003.10.047 · Cited by 19
SpaceTime Mission: Clock Test of Relativityat Four Solar Radii
Maleki, L., & Prestage, J. D. (2007) · Springer eBooks · doi:10.1007/3-540-40988-2_19 · Cited by 19
Fujii, Y. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.08.036 · Cited by 19
Recent results in nuclear astrophysics
Coc, A., Hammache, F., & Kiener, J. (2015) · The European Physical Journal A · doi:10.1140/epja/i2015-15034-y · Cited by 18
Global representation of the fine structure constant and its variation
Tobar, M. E. (2005) · Metrologia · doi:10.1088/0026-1394/42/2/007 · Cited by 18
Particle Data Group (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.06.011 · Cited by 23
Galaxy clusters, type Ia supernovae and the fine structure constant
Holanda, R. F. L., Busti, V. C., Colaco, R. L., Alcaniz, J. S., & Landau, S. J. (2016) · CONICET Digital (CONICET) · Cited by 18
Beloy, K., Borschevsky, A., Schwerdtfeger, P., & Flambaum, V. V. (2010) · Physical Review A · doi:10.1103/physreva.82.022106 · Cited by 18
Does the weak interaction constant depend on time?
Barabash, A. S. (1998) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/1.567813 · Cited by 18
The Equivalence Principle and the Constants of Nature
Damour, T. (2009) · Space Science Reviews · doi:10.1007/s11214-009-9533-6 · Cited by 17
“Let us only mention the recent progress in the comparison of single-ion optical clocks which has allowed one to constrain the variability of αEM at the 10 −17 yr level [19] (thereby “beating” the indirect constraint on d lnαEM/dt coming from the analysis of the Oklo phenomenon [20, 21, 22]).”
BackgroundSelf-citationCowie, L. L., & Songaila, A. (2004) · Nature · doi:10.1038/428132a · Cited by 17
Varying alpha driven by the Dirac–Born–Infeld scalar field
Wei, H. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.10.086 · Cited by 18
Implications of a Dilaton in Gauge Theory and Cosmology
Dick, R. (1997) · Fortschritte der Physik/Progress of Physics · doi:10.1002/prop.2190450702 · Cited by 16
Metadata
- Authors
- Damour, T., & Dyson, F.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Princeton University (US)
- ORCID
- Damour, Thibault
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1996-11
- Volume
- 480
- Issue
- 1-2
- Pages
- 37-54
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2074946325
- Cited by
- 374
- References
- 33
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 7 · 2023: 5 · 2022: 4 · 2021: 6 · 2020: 9 · 2019: 7 · 2018: 20 · 2017: 5 · 2016: 7 · 2015: 6 · 2014: 7 · 2013: 10 · 2012: 9
- FWCI
- 4.39
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ambrose Monell Foundation
- Nuclear Physics
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- fine-structure constant variation, alpha variation, rare earth isotopes, isotope shift
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