Abstract
Constraints on the Yukawa-type corrections to Newton’s gravitational law and on the coupling constant of axionlike particles to nucleons obtained from different laboratory experiments are reviewed and compared. The constraints on non-Newtonian gravity under discussion cover the wide interaction range from nanometers to millimeters and follow from the experiments on neutron scattering, measuring the Casimir force and Cavendish-type experiments. The constraints on the axion-to-nucleon coupling constant following from the magnetometer measurements, Cavendish-type experiments, Casimir physics, and experiments with beams of molecular hydrogen are considered, which refer to the region of axion masses from 10−10 to 200 eV. Particular attention is given to the recent constraints obtained from measuring the Casimir force at nanometer separation distance between the test bodies. Several proposed experiments focussed on constraining the non-Newtonian gravity, axionlike particles and other hypothetical weakly interacting particles, such as chameleons and symmetrons, are discussed.
Highlights
More and more experiments have been devoted to a search for some uncharged weakly interacting elementary particles, which are not accessible for the accelerator techniques used in high energy physics
We review constraints on the Yukawa-type interaction and interaction of axions with nucleons obtained during the last few years from measurements of the Casimir force
The results presented below are based on the use of (12) and, are applicable to the Grand Unified Theory (GUT) axions and axionlike particles
Summary
More and more experiments have been devoted to a search for some uncharged weakly interacting elementary particles, which are not accessible for the accelerator techniques used in high energy physics. At larger interaction range λ > 11.6 nm the stronger constraints on the strength of Yukawa interaction follow from measurements of the normal Casimir force between sinusoidally corrugated surfaces of a sphere and a plate at different orientation angles of corrugations [50,51]. At λ = 2.09 μm they are replaced by the stronger ones found from the measurement of the Casimir force between the Au-coated surfaces of a plate and a spherical lens of centimeter-size radius by means of the torsion pendulum [65]
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