Enhanced effect of quark mass variation in 229Th and limits from Oklo data

Abstract

The effects of the variation of the dimensionless strong interaction parameter Xq=mq/Lambda{QCD} (mq is the quark mass, Lambda{QCD} is the QCD scale) are enhanced about 1.5 x 10**5 times in the 7.6 eV "nuclear clock" transition between the ground and first excited states in the 229Th nucleus and about 1 x 10**8 times in the relative shift of the 0.1 eV compound resonance in 150Sm.The best terrestrial limit on the temporal variation of the fundamental constants, |delta(Xq)/Xq| < 4 x 10**-9 at 1.8 billion years ago (|d(Xq/Xq)/dt| < 2.2 x 10**-18 y**-1), is obtained from the shift of this Sm resonance derived from the Oklo natural nuclear reactor data. The results for 229Th and 150Sm are obtained by extrapolation from light nuclei where the many-body calculations can be performed more accurately. The errors produced by such extrapolation may be smaller than the errors of direct calculations in heavy nuclei. The extrapolation results are compared with the "direct" estimates obtained using the Walecka model. A number of numerical relations needed for the calculations of the variation effects in nuclear physics and atomic spectroscopy have been obtained: for the nuclear binding energy delta(E)/E ~ -1.45 delta(mq)/mq, for the spin-orbit intervals delta(Eso)/Eso ~ -0.22 delta(mq)/mq, for the nuclear radius delta(r)/r ~ 0.3 delta(mq)/mq (in units of Lambda{QCD}); for the shifts of nuclear resonances and weakly bound energy levels delta(Er) ~ 10 delta(Xq)/Xq MeV.

v2: minor corrections to text and references

References in corpus (20)

• The fundamental constants and their variation: observational status and theoretical motivations
• The Oklo bound on the time variation of the fine-structure constant revisited
• Enhanced effect of temporal variation of the fine structure constant in diatomic molecules
• The Cosmological Evolution of the Nucleon Mass and the Electroweak Coupling Constants
• The nuclear interaction at Oklo 2 billion years ago
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Natural Nuclear Reactor Oklo and Variation of Fundamental Constants Part 1: Computation of Neutronics of Fresh Core
• Time-varying coupling strengths, nuclear forces and unification
• Dependence of nuclear binding on hadronic mass variation
• Limits on Cosmological Variation of Strong Interaction and Quark Masses from Big Bang Nucleosynthesis, Cosmic, Laboratory and Oklo Data
• Probing Quintessence with Time Variation of Couplings
• Crossover quintessence and cosmological history of fundamental "constants"
• Time-variability of alpha from realistic models of Oklo reactors
• Sigma Terms of Light-Quark Hadrons
• Dependence of hadronic properties on Quark Masses and Constraints on their Cosmological Variation
• Variation of fundamental constants: theory and observations
• Schwinger functions and light-quark bound states, and sigma terms
• Sensitivity of Nuclear Transition Frequencies to Temporal Variation of the Fine Structure Constant or the Strong Interaction
• Limits on cosmological variation of quark masses and strong interaction
• Influence of Meson's Widths on Yukawa-like Potentials and Lattice Correlation Functions

Cited by in corpus (30)

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