Larmor Power Limit for Cyclotron Radiation of Relativistic Particles in a Waveguide

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 t...

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Hauptverfasser: Buzinsky, N, Taylor, R J, Byron, W, DeGraw, W, Dodson, B, Fertl, M, García, A, Goodson, A P, Graner, B, Harrington, H, Hayen, L, Malavasi, L, McClain, D, Melconian, D, Müller, P, Novitski, E, Oblath, N S, Robertson, R G H, Rybka, G, Savard, G, Smith, E, Stancil, D D, Storm, D W, Swanson, H E, Tedeschi, J R, VanDevender, B A, Wietfeldt, F E, Young, A R
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container_title arXiv.org
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creator Buzinsky, N
Taylor, R J
Byron, W
DeGraw, W
Dodson, B
Fertl, M
García, A
Goodson, A P
Graner, B
Harrington, H
Hayen, L
Malavasi, L
McClain, D
Melconian, D
Müller, P
Novitski, E
Oblath, N S
Robertson, R G H
Rybka, G
Savard, G
Smith, E
Stancil, D D
Storm, D W
Swanson, H E
Tedeschi, J R
VanDevender, B A
Wietfeldt, F E
Young, A R
description 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 \(\gamma^4\). This hypothesis is corroborated with experimental CRES slope data.
doi_str_mv 10.48550/arxiv.2405.06847
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subjects Beta decay
Charged particles
Cyclotron radiation
Cyclotrons
Lorentz factor
Particle physics
Physics - Nuclear Experiment
Positrons
Radiation
Rectangular waveguides
Relativistic effects
Relativistic particles
Spectrum analysis
title Larmor Power Limit for Cyclotron Radiation of Relativistic Particles in a Waveguide
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