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.

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