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Cited by 191Particle physics theoretical and experimental studiesAtomic and Molecular PhysicsNoncommutative and Quantum Gravity Theories

Past Electron-Positrong−2Experiments Yielded Sharpest Bound onCPTViolation for Point Particles

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Dehmelt, H., Mittleman, R., Van Dyck, R. S., Schwinberg, P.·1999·Physical Review Letters
DOI 10.1103/physrevlett.83.4694
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Abstract

In our experiments on a single ${e}^{\ensuremath{-}}$ and ${e}^{+}$ we measured the cyclotron and spin-cyclotron difference frequencies ${\ensuremath{\omega}}_{c}^{\ifmmode\pm\else\textpm\fi{}}$ and ${\ensuremath{\omega}}_{a}^{\ifmmode\pm\else\textpm\fi{}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}{\ensuremath{\omega}}_{s}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{-}{\ensuremath{\omega}}_{c}^{\ifmmode\pm\else\textpm\fi{}}$ and ratios ${a}^{\ifmmode\pm\else\textpm\fi{}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}{\ensuremath{\omega}}_{a}^{\ifmmode\pm\else\textpm\fi{}}/{\ensuremath{\omega}}_{c}^{\ifmmode\pm\else\textpm\fi{}}$ at ${\ensuremath{\omega}}_{c}/2\ensuremath{\pi}\ensuremath{\simeq}141\mathrm{GHz}$ and ${e}^{\ensuremath{-}}$ values also at ${\ensuremath{\omega}}_{c}/2\ensuremath{\pi}\ensuremath{\simeq}164\mathrm{GHz}$. Here we do extract from these data a new figure of merit for violation of $\mathrm{CPT}$ symmetry similar to $|{m}_{\mathrm{Kaon}}{\ensuremath{-}m}_{\mathrm{Antikaon}}|{/m}_{\mathrm{Kaon}}\ensuremath{\lesssim}{10}^{\ensuremath{-}18}$ for the $K$ mesons composed of two quarks. That expression compares experimental relativistic mass energies of particle states before and after the $C,P,T$ operations have transformed particle into antiparticle. The figure for our noncomposite leptons was even smaller: $|\ensuremath{\Elzxh}({\ensuremath{\omega}}_{a}^{\ensuremath{-}}/2)\ensuremath{-}\ensuremath{\Elzxh}({\ensuremath{\omega}}_{a}^{+}/2)|{/m}_{0}{c}^{2}\ensuremath{\lesssim}12\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}22}$.

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  • The observational bound on the difference between ωa for electrons and positrons leads to a bound on bZ of order bZ ≤ 10−21 me.

    “The observational bound on the difference between ωa for electrons and positrons is [97]. This leads to a bound on bZ of order bZ ≤ 10−21me.”

    From Modern Tests of Lorentz Invariance (2005) · cites this paper as [97]

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  1. [1]Compare, e.g., P. Dirac, Proc. Royal Soc. (London) A268, 57 (1962)
  2. [5]A. Kosteleck´ y, CPT Violation, Strings, and Neutral-Meson Systems@, Presented at Orbis Scientiae, January 1997, abstract hep-ph/9704264 · arXiv
  3. [6]J. Ellis, J. Lopez, N. Mavromatos and D. Nanopoulos, Physical Review D 53, 3846 (1996)
  4. [7]R. Van Dyck, Jr., H. Dehmelt and P. Schwinberg, Phys. Rev. Lett. 59, 26 (1987), and Phys. Rev. D 34, 722 (1986).
  5. [8]'Improving the electron g-2 experiment' R. Mittleman, F. Palmer, and H. Dehmelt, in 'Traps for antimatter and radioactive nuclei', eds. J. D'Auria, D. Gill and A. Javin (Baltzer, Basel 1993) and Hyp. Int. 81, 105 (1993)
  6. [9]H. Dehmelt, Proc. Natl. Acad. Sci. USA 83, 2291 (1986).
  7. [10]R. Bluhm, A. Kosteleck´ y and N. Russell, Phys. Rev. Lett. 79, 1432 (1997) also hep-ph/9707364 and Phys. Rev. D 57, 3932 (1998). · arXiv
  8. [11]C. Caso et al., Euro. Phys. J. C 3, 1 (1998)

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Authors
Dehmelt, H., Mittleman, R., Van Dyck, R. S., & Schwinberg, P.
Affiliations
University of Washington (US)
ORCID
Mittleman, R.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1999-12-06
Volume
83
Issue
23
Pages
4694-4696
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.83.4694
OpenAlex
W2023849958
Cited by
191
References
10
Citations by year
2026: 2 · 2025: 4 · 2023: 2 · 2022: 3 · 2021: 4 · 2020: 4 · 2019: 2 · 2018: 5 · 2017: 6 · 2016: 10 · 2015: 6 · 2014: 9 · 2013: 6 · 2012: 11
FWCI
5.14
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
CPT violation, electron anomalous magnetic moment, cyclotron frequency, figure of merit, point particles, kaon mass difference, electron spin precession, electron-positron annihilation, electron-positron pair production

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