This paper concerns the potential field for Yukawa-type forces in a cylindrical geometry. A set of formulae is derived for a cylindrical body in order to reduce the integration over the body from 3D (or 6D for a pair of interacting bodies) to either a 1D integration, or an analytical formula. Using these formulae we consider analytically the potential field of two Yukawa force terms, and reanalyse Long's and Spero et al's experiments for the inverse-square law test. The results show that the - graph produces similar results to the case where a single Yukawa term is considered. The theory can also be applied to other problems in short-range force experiments that involve cylindrically shaped bodies as the test masses.
|Number of pages||14|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 7 Aug 1996|
- inverse square law
- newtonian gravity
- mass separations
Lockerbie, N. A., Veryaskin, A. V., & Xu, X. (1996). Analytical evaluation of short-range forces in cylindrical geometry. Journal of Physics A: Mathematical and Theoretical, 29(15), 4649-4663. https://doi.org/10.1088/0305-4470/29/15/030