The Fourier-Bessel expansion: Application to experimental probes of gravity and feeble short-range interactions

J. G. Lee, E. G. Adelberger, F. V. Marcoline, W. A. Terrano, B. R. Heckel

Research output: Contribution to journalArticlepeer-review

Abstract

Two Eöt-Wash torsion balance instruments exploited optimized Fourier-Bessel geometries to test the short-distance properties of gravity and to constrain exotic dipole-dipole and monopole-dipole interactions. We discuss efficient analytic techniques for computing the expected torques in those instruments arising from Newtonian and Yukawa interactions between unpolarized test bodies and dipole-dipole and monopole-dipole torques on polarized test-bodies. We consider systematic effects induced by weak external magnetic fields on the nominally unpolarized test-bodies. We also present a new Fourier-Bessel expansion for inverse-power-law (IPL) potentials and use this to calculate the expected IPL signals in our recent short-distance test of the gravitational inverse-square law. Our results slightly improve limits on inverse-5th-power law potentials.

Original languageEnglish (US)
Article number085019
JournalClassical and Quantum Gravity
Volume38
Issue number8
DOIs
StatePublished - Apr 22 2021
Externally publishedYes

Keywords

  • Dipole-dipole potential
  • Gravitational inverse-square law
  • Inverse-power-law potential
  • Magnetostatic interaction
  • Monopole-dipole potential
  • Yukawa potential

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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