New Journal of Physics (Jan 2024)

Larmor power limit for cyclotron radiation of relativistic particles in a waveguide

  • N Buzinsky,
  • R J Taylor,
  • W Byron,
  • W DeGraw,
  • B Dodson,
  • M Fertl,
  • A García,
  • A P Goodson,
  • B Graner,
  • H Harrington,
  • L Hayen,
  • L Malavasi,
  • D McClain,
  • D Melconian,
  • P Müller,
  • E Novitski,
  • N S Oblath,
  • R G H Robertson,
  • G Rybka,
  • G Savard,
  • E Smith,
  • D D Stancil,
  • D W Storm,
  • H E Swanson,
  • J R Tedeschi,
  • B A VanDevender,
  • F E Wietfeldt,
  • A R Young

DOI
https://doi.org/10.1088/1367-2630/ad6d85
Journal volume & issue
Vol. 26, no. 8
p. 083021

Abstract

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Cyclotron radiation emission spectroscopy (CRES) is a modern technique for high-precision energy spectroscopy, in which the energy of a charged particle in a magnetic field is measured via the frequency of the emitted cyclotron radiation. The He6-CRES collaboration aims to use CRES to probe beyond the standard model physics at the TeV scale by performing high-resolution and low-background beta-decay spectroscopy of $ {} ^6\textrm{He}$ and $ {} ^{19}\textrm{Ne}$ . Having demonstrated the first observation of individual, high-energy (0.1–2.5 MeV) positrons and electrons via their cyclotron radiation, the experiment provides a novel window into the radiation of relativistic charged particles in a waveguide via the time-derivative (slope) of the cyclotron radiation frequency, $\mathrm{d}{f}_\textrm{c}/\mathrm{d}{t}$ . We show that analytic predictions for the total cyclotron radiation power emitted by a charged particle in circular and rectangular waveguides are approximately consistent with the Larmor formula, each scaling with the Lorentz factor of the underlying $e^\pm$ as γ ^4 . This hypothesis is corroborated with experimental CRES slope data.

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