Cyclotron motion in a microwave cavity: Lifetime and frequency shifts

Lowell S. Brown*, Gerald Gabrielse, Kristian Helmerson, Joseph Tan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

The interaction of a bound electron with the radiation field produced by the image charges that represent a surrounding cavity produces a shift in its orbital frequency and in its radiative decay time. We calculate the frequency shift and the change in the damping constant for a cyclotron motion at the midpoint of a lossy, cylindrical cavity. A change in the cyclotron damping constant has, in fact, been observed in the University of Washington g-2 experiments. These experiments employ electrodes with a hyperbolic shape, but our calculable model should give a useful indication of the size of the effects for them. The frequency shift can easily be so large as to have important consequences for the g-2 measurements, and this systematic effect warrants a thorough experimental investigation. As an intermediate step in this calculation, we also compute the corresponding alterations for a charged particle in the midplane between two infinite parallel conductors.

Original languageEnglish (US)
Pages (from-to)3204-3218
Number of pages15
JournalPhysical Review A
Volume32
Issue number6
DOIs
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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