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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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“Cs clock [115] Oklo Natural Reactor [41] 21-cm vs.”
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The Confrontation between General Relativity and Experiment
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“15 Oklo Natural Reactor [72] < 5× 10−12 10(9) Big Bang nucleosynthesis [179, 223] e-p mass ratio < 3× 10−15 2.”
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“Damour and Dyson (1996) related the variation of Er to the fine structure constant by taking into account that the radiative capture of the neutron by 14962 Sm corresponds to the existence of an excited quantum state 150 62 Sm (so that Er = E ∗ 150−E149−mn) and by assuming that the nuclear energy…”
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“While most studies focus on the samarium, [220] also includes the gadolinium even though it is not clear whether it can reliably be measured [123].”
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“Cs clock [115] Oklo Natural Reactor [41] 21-cm vs.”
BackgroundInfluentialFurther evidence for a variable fine-structure constant from Keck/HIRES QSO absorption spectra
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“…(Prestage et al. 1995) and fountains (Sortaiset al. 2001), analysis of149Sm isotopic abundances from the Oklo natural fission reactor in Gabon, Africa (Shlyakhter 1976; Damour & Dyson 1996), and meteoritic constraints on the long-livedβdecay rate of187Re (Peebles & Dicke 1962; Dyson 1967, 1972).”
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“Damour & Dyson (1996) have also analysed the problem with different model assumptions and claim −0.9× 10−7 ∆α/α 1.2 × 10−7.”
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“Indeed, the analysis of the Oklo data [46, 47, 48] shows that this resonance has not changed by more than about 0.”
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“…et al. 2008; Cingöz et al. 2008; Peik et al. 2008; Bize et al. 2003), the Oklo phenomenon at a redshift z ' 0.14 (Kuroda 1956; Shlyakhter 1976; Damour & Dyson 1996; Fujii et al. 2000a; Gould et al. 2006), meteorite dating (Wilkinson 1958; Dyson 1972; Fujii et al. 2000b; Olive et al. 2002),…”
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“From this, the following bound (Damour and Dyson 1996) on the variation of α can be derived: −0.9 × 10−7 < α α < 1.2 × 10−7 (38) A reanalysis of the existing data using the isotopic ratios of the Gadolinium isotope pairs 155Gd/156Gd and 157Gd/158Gd separately as well as those of Sm previously…”
MethodInfluentialClock transition for a future optical frequency standard with trapped atoms
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Cosmological Constant Versus Quintessence
Binétruy, P. (2000) · International Journal of Theoretical Physics · doi:10.1023/a:1003697832568 · Cited by 74
Limits to time variation of fundamental constants from comparisons of atomic frequency standards
Lea, S. N. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/9/r01 · Cited by 73
Breaking of the equivalence principle in the electromagnetic sector and its cosmological signatures
Hees, A., Minazzoli, O., & Larena, J. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.124064 · Cited by 72
“Today, we have excellent constraints on the variations of the fine structure constant α [4–30], on variations of the weak interaction constant αW [4, 31] and on the variation of the constants of strong interaction [11, 26–28, 32, 33] (for a review of all these tests, see [34]).”
BackgroundMapping the dark energy with varying alpha
Parkinson, D., Bassett, B. A., & Barrow, J. D. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.10.081 · Cited by 72
Matter Non-conservation in the Universe and Dynamical Dark EnergyPreprint
Harald Fritzsch, A., & Solà, J. (2016) · Cited by 88
Dependence of hadronic properties on quark masses and constraints on their cosmological variation
Flambaum, V. V., & Shuryak, E. V. (2003) · Physical Review D · doi:10.1103/physrevd.67.083507 · Cited by 69
Questioning the equivalence principle
Damour, T. (2001) · Comptes Rendus de l Académie des Sciences - Series IV - Physics-Astrophysics · doi:10.1016/s1296-2147(01)01272-0 · Cited by 67
Self-citationEnhanced effect of quark mass variation in Th229 and limits from Oklo data
Flambaum, V. V., & Wiringa, R. B. (2009) · Physical Review C · doi:10.1103/physrevc.79.034302 · Cited by 67
Quintessence models and the cosmological evolution of α
Lee, S., Olive, K. A., & Pospelov, M. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.083503 · Cited by 65
Measuring the stability of fundamental constants with a network of clocks
Barontini, G., Blackburn, L., Boyer, V., Butuc-Mayer, F., Calmet, X., López-Urrutia, J. R. C., Curtis, E. A., Darquié, B., Dunningham, J., Fitch, N. J., et al. (2022) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-022-00130-5 · Cited by 76
AN OBSERVATIONAL DETERMINATION OF THE PROTON TO ELECTRON MASS RATIO IN THE EARLY UNIVERSE
Thompson, R. I., Bechtold, J., Black, J. H., Eisenstein, D. J., Fan, X., Kennicutt, R. C., Martins, C. J. A. P., Prochaska, J. X., & Shirley, Y. L. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/703/2/1648 · Cited by 62
“In very rare cases, such as the Oklo mine (Damour & Dyson 1996), there exists a terrestrial laboratory to test for time varying constants.”
Generalized theory of varying alpha
Barrow, J. D., & Lip, S. Z. W. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.023514 · Cited by 61
Matter non-conservation in the universe and dynamical dark energy
Fritzsch, H., & Solà, J. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/21/215002 · Cited by 80
A cosmological tale of two varying constants
Barrow, J. D., Magueijo, J., & Sandvik, H. B. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02233-5 · Cited by 58
Martins, C. J. A. P., MELCHIORRI, A., Trotta, R., Bean, R., Rocha, G. M., Avelino, P. P., & Viana, P. T. P. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.023505 · Cited by 57
Can a Changing α Explain the Supernovae Results?
Barrow, J. D., & Magueijo, J. (2000) · The Astrophysical Journal · doi:10.1086/312572 · Cited by 56
“In separate work, the spacings between quasar (QSO) absorption lines were examined in Keck I data at medium redshifts, z ∼ 1, (Webb et al 99) and compared with those in the laboratory (see also Drinkwater et al 98, Damour and Dyson 96, Shylakhter 76, Barrow 87).”
MethodProbing Quintessence with Time Variation of CouplingsPreprint
WETTERICH, C., & Heidelberg, U. (2002) · Cited by 56
Minazzoli, O., & Hees, A. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.023017 · Cited by 55
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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