Analytical evaluation of short-range forces in cylindrical geometry

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.