Dependence of nuclear binding on hadronic mass variation

Abstract

We examine how the binding of light ($A\le 8$) nuclei depends on possible variations of hadronic masses, including meson, nucleon, and nucleon-resonance masses. Small variations in hadronic masses may have occurred over time; the present results can help evaluate the consequences for big bang nucleosynthesis. Larger variations may be relevant to current attempts to extrapolate properties of nucleon-nucleon interactions from lattice QCD calculations. Results are presented as derivatives of the energy with respect to the different masses so they can be combined with different predictions of the hadronic mass-dependence on the underlying current-quark mass $m_q$. As an example, we employ a particular set of relations obtained from a study of hadron masses and sigma terms based on Dyson-Schwinger equations and a Poincaré-covariant Faddeev equation for confined quarks and diquarks. We find that nuclear binding decreases moderately rapidly as the quark mass increases, with the deuteron becoming unbound when the pion mass is increased by $\sim$60% (corresponding to an increase in $X_q=m_q/{\Lambda }_{QCD}$ of 2.5). In the other direction, the dineutron becomes bound if the pion mass is decreased by $\sim$15% (corresponding to a reduction of $X_q$ by $\sim$30%). If we interpret the disagreement between big bang nucleosynthesis calculations and measurements to be the result of variation in $X_q$, we obtain an estimate $\delta X_q/X_q=K\cdot (0.013\pm 0.002)$ where $K\sim 1$ (the expected accuracy in $K$ is about a factor of 2). The result is dominated by ${}^7$Li data.

28 pages including 3 figures v2:additional citations/acknowledgments added

References in corpus (39)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The String Dilaton and a Least Coupling Principle
• The fundamental constants and their variation: observational status and theoretical motivations
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Quantum Monte Carlo Calculations of Light Nuclei
• Evolution of Nuclear Spectra with Nuclear Forces
• A Simple Varying-alpha Cosmology
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• 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
• Nuclear forces in the chiral limit
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Coupled Variations of Fundamental Couplings and Primordial Nucleosynthesis
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Evolution of the Fine Structure Constant Driven by Dark Matter and the Cosmological Constant
• Dependence of nuclear magnetic moments on quark masses and limits on temporal variation of fundamental constants from atomic clock experiments
• Enhanced sensitivity to time-variation of m_p/m_e in the inversion spectrum of ammonia
• Limits on the temporal variation of the fine structure constant, quark masses and strong interaction from quasar absorption spectra and atomic clock experiments
• Variation of Fundamental Couplings and Nuclear Forces
• Natural Nuclear Reactor Oklo and Variation of Fundamental Constants Part 1: Computation of Neutronics of Fresh Core
• Cosmological variation of deuteron binding energy, strong interaction and quark masses from big bang nucleosynthesis
• A new constraint on the time dependence of the proton-to-electron mass ratio. Analysis of the Q 0347-383 and Q 0405-443 spectra
• Time-varying coupling strengths, nuclear forces and unification
• 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
• Primordial nucleosynthesis as a probe of fundamental physics parameters
• Crossover quintessence and cosmological history of fundamental "constants"
• Time-variability of alpha from realistic models of Oklo reactors
• Neutron Moderation in the Oklo Natural Reactor and the Time Variation of alpha
• Limits on variations in fundamental constants from 21-cm and ultraviolet quasar absorption lines
• Sigma Terms of Light-Quark Hadrons
• Dependence of hadronic properties on Quark Masses and Constraints on their Cosmological Variation
• Pair counting, pion-exchange forces, and the structure of light nuclei
• Limits on cosmological variation of quark masses and strong interaction
• More on the infrared renormalization group limit cycle in QCD
• Pion-mass dependence of three-nucleon observables
• Unified chiral analysis of the vector meson spectrum from lattice QCD
• BBN and Lambda_QCD

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• LIFE ON EARTH -- AN ACCIDENT? Chiral Symmetry and the Anthropic Principle
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