Aharonov-Bohm Type Forces Between Magnetic Fluxons

Abstract

Forces related to A-B phases between fluxons with $Φ=αΦ_0\ \ \ $ $α\ne integer$ are discussed. We find a $α^2\ln(r)$ type interaction screened on a scale $λ_s$. The forces exist only when the fluxons are actually immersed in the region with non vanishing charge density and are periodic in $α$. We briefly comment on the problem of observing such forces.