Application of the proximity force approximation to gravitational and Yukawa-type forces

R. S. Decca, E. Fischbach, G. L. Klimchitskaya, D. E. Krause, D. López, V. M. Mostepanenko

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36 Scopus citations

Abstract

We apply the proximity force approximation, which is widely used for the calculation of the Casimir force between bodies with nonplanar boundary surfaces, to gravitational and Yukawa-type interactions. It is shown that for the gravitational force in a sphere-plate configuration the general formulation of the proximity force approximation is well applicable. For a Yukawa-type interaction we demonstrate the validity of both the general formulation of the proximity force approximation and a simple mapping between the sphere-plate and plate-plate configurations. The claims to the contrary in some recent literature are thus incorrect. Our results justify the constraints on the parameters of non-Newtonian gravity previously obtained from the indirect dynamic measurements of the Casimir pressure.

Original languageEnglish (US)
Article number124021
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume79
Issue number12
DOIs
StatePublished - Jun 15 2009

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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