Abstract

We obtain constraints on the Yukawa-type corrections to Newton's gravitational law and on the coupling constant of axionlike particles to nucleons following from the experiment on measuring the Casimir force between an Au-coated microsphere and a silicon carbide plate. For this purpose, both the Yukawa-type force and the force due to two-axion exchange between nucleons are calculated in the experimental configuration. In the interaction range of Yukawa force exceeding 1 nm and for axion masses above 17.8 eV, the obtained constraints are much stronger than those found previously from measuring the lateral Casimir force between sinusoidally corrugated surfaces. These results are compared with the results of other laboratory experiments on constraining non-Newtonian gravity and axionlike particles in the relevant interaction ranges.

Highlights

  • Many extensions of the Standard Model predict the existence of light scalar and pseudoscalar particles which play an important role in the current concepts of the world, but still remain to be discovered experimentally

  • An exchange of one light scalar particle leads to the Yukawa-type interaction potential [11], whereas the interaction potential due to an exchange of one pseudoscalar particle between two fermions depends on their spins [12,13]

  • We have obtained constraints on the Yukawatype corrections to Newtonian gravitational law and the coupling constant of axionlike particles to nucleons which follow from measuring the Casimir force between a Aucoated microsphere and a silicon carbide plate

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Summary

INTRODUCTION

Many extensions of the Standard Model predict the existence of light scalar and pseudoscalar particles which play an important role in the current concepts of the world, but still remain to be discovered experimentally. They were replaced by stronger constraints following from the experiment on neutron scattering [37] and from measurements of the lateral Casimir force between sinusoidally corrugated surfaces [29,60,61] In the latter case, the closest approach between the two interacting bodies was only 22 and 23 nm in the first and second sets of measurements, respectively [60,61]. [57], are stronger than those from measuring the lateral Casimir force [51,60,61] for the axion masses satisfying a condition ma > 17.8 eV Within these interaction ranges, the stronger constraints on non-Newtonian gravity and coupling constant on axions to nucleons have been found only from the experiments on neutron scattering [37,38] and hydrogen beams [56], respectively.

THE HYPOTHETICAL FORCES IN THE CASIMIR EXPERIMENT UTILIZING GOLD
Yu ðr12 Þ
CONSTRAINTS ON NON-NEWTONIAN GRAVITY AND AXIONLIKE PARTICLES
CONCLUSIONS AND DISCUSSION
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