A neutral particle with a magnetic moment interacts with a charged particle. Such an interaction is invariant under the interchange of the particles. This interchangeability or duality of the particles elucidates subtleties of the Aharonov?Bohm and Aharonov?Casher effects, including whether and how these two effects are themselves dual.

Journal of Physics A Mathematical and TheoreticalAug 12, 20104 citations

Graduate texts in contemporary physics

Interacting Particle Effects

George D. J. Phillies

Published Jan 1, 2000• 0 citations

Publisher

DOI: 10.1007/978-1-4612-1264-5_36

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The effect of the force range

{\mathit{r}}_{0}

on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction

{\mathit{r}}_{0}

{\mathit{R}}^{3}

in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric

{0}^{+}

three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.