Analytical evaluation of short-range forces in cylindrical geometry

N.A. Lockerbie, A.V. Veryaskin, X. Xu

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)4649-4663
Number of pages14
JournalJournal of Physics A: Mathematical and Theoretical
Volume29
Issue number15
DOIs
Publication statusPublished - 7 Aug 1996

Keywords

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

Fingerprint Dive into the research topics of 'Analytical evaluation of short-range forces in cylindrical geometry'. Together they form a unique fingerprint.

  • Cite this