Nuclear constraints on non-Newtonian gravity at femtometer scale

Abstract

Effects of the non-Newtonian gravity on properties of finite nuclei are studied by consistently incorporating both the direct and exchange contribution of the Yukawa potential in the Hartree-Fock approach using a well-tested Skyrme force for the strong interaction. It is shown for the first time that the strength of the Yukawa term in the non-Newtonian gravity is limited to $\log (|\alpha |)<1.75/[\lambda (\mathrm{fm}){]}^{0.54}+33.6$ within the length scale of $\lambda =1-10$ fm in order for the calculated properties of finite nuclei not to be in conflict with accurate experimental data available.

Additional discussions and references added; related Lab Talk is available via http://iopscience.iop.org/0954-3899/labtalk-article/52299

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• U-boson production in e+e- annihilations, psi and Upsilon decays, and Light Dark Matter
• Neutron scattering and extra short range interactions
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• Constraints on new interactions from neutron scattering experiments
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Cited by in corpus (6)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Impact of the equation-of-state -- gravity degeneracy on constraining the nuclear symmetry energy from astrophysical observables
• Evaporation Barrier for Dark Matter in Celestial Bodies
• Constraints from compact star observations on non-Newtonian gravity in strange stars based on a density dependent quark mass model
• Neutron stars in general relativity and scalar-tensor theory of gravity