### Abstract

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.

Original language | English |
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Pages (from-to) | 4649-4663 |

Number of pages | 14 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 29 |

Issue number | 15 |

DOIs | |

Publication status | Published - 7 Aug 1996 |

### Keywords

- inverse square law
- newtonian gravity
- mass separations
- constraints

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## Cite this

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