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

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics, Indiana University--Purdue University Indianapolis, Indianapolis, Indiana 46202 (United States)
  2. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
  3. North-West Technical University, Millionnaya Street 5, St. Petersburg, 191065 (Russian Federation)
  4. Physics Department, Wabash College, Crawfordsville, Indiana 47933 (United States)
  5. Center for Nanoscale Materials, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
  6. Noncommercial Partnership 'Scientific Instruments', Tverskaya Street 11, Moscow, 103905 (Russian Federation)

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.

OSTI ID:
21300980
Journal Information:
Physical Review. D, Particles Fields, Vol. 79, Issue 12; Other Information: DOI: 10.1103/PhysRevD.79.124021; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English