Abstract
We consider axionlike particles as the most probable constituents of dark matter, the Yukawa-type corrections to Newton’s gravitational law and constraints on their parameters following from astrophysics and different laboratory experiments. After a brief discussion of the results by Prof. Yu. N. Gnedin in this field, we turn our attention to the recent experiment on measuring the differential Casimir force between Au-coated surfaces of a sphere and the top and bottom of rectangular trenches. In this experiment, the Casimir force was measured over an unusually wide separation region from 0.2 to 8μm and compared with the exact theory based on first principles of quantum electrodynamics at nonzero temperature. We use the measure of agreement between experiment and theory to obtain the constraints on the coupling constant of axionlike particles to nucleons and on the interaction strength of a Yukawa-type interaction. The constraints obtained on the axion-to-nucleon coupling constant and on the strength of a Yukawa interaction are stronger by factors of 4 and 24, respectively, than those found previously from gravitational experiments and measurements of the Casimir force but weaker than the constraints following from a differential measurement where the Casimir force was nullified. Some other already performed and planned experiments aimed at searching for axions and non-Newtonian gravity are discussed, and their prospects are evaluated.
Highlights
All experiments measuring the Casimir force between two macrobodies used for obtaining constraints on axionlike particles [35,36,37,38,39,40,41] were performed at separations below a micrometer
In the same figure, we show the constraints obtained earlier from the Cavendish-type experiment [93], from measuring the smallest gravitational forces using the torsional oscillator [95,96,97], from measuring the effective Casimir pressure [73,74], from the experiment using a beam of molecular hydrogen [98] and from the differential measurement where the Casimir force was completely nullified [59]
We considered the problems of dark matter axions, non-Newtonian gravity and the constraints on their parameters
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. We obtain new constraints on the coupling constant of axionlike particles to nucleons and on the Yukawa-type corrections to Newtonian gravity following from recent experiment measuring the differential Casimir force between two Au-coated bodies spaced at separations from 0.2 to 8 μm [49].
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