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Can a charged decaying particle serve as an ideal clock in the presence of a magnetic field?
Phys. Rev. D 97, 045006 – Published 12 February, 2018
DOI: https://doi.org/10.1103/PhysRevD.97.045006
Abstract
We investigate a model of a supposedly ideal clock based on the decay rate of a charged particle in circular motion in a constant magnetic field. We show that the time measured by an ideal clock depends on the acceleration. However, the effect becomes visible at an order of magnitude of , therefore confirming the validity of the ideal clock hypothesis for realistic accelerations.
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References (11)
- J. Bailey et al., Measurements of muon time dilation for positive and negative muons in a circular orbit, Nature (London) 268, 301 (1977).
- J. B. Hartle, Gravity (Addison Wesley, Reading, MA, 2003).
- R. Mueller, Decay of accelerated particles, Phys. Rev. D 56, 953 (1997).
- D. A. T. Vanzella and G. E. A. Matsas, Weak decay of uniformly accelerated protons and related process, Phys. Rev. D 63, 014010 (2000).
- D. Fregolente, G. E. A. Matsas, and D. A. T. Vanzella, Semiclassical approach to the decay of protons in circular motion under the influence of a gravitational field, Phys. Rev. D 74, 045032 (2006).
- H. Suzuki and K. Yamada, Analytic evaluation of the decay rate for an accelerated proton, Phys. Rev. D 67, 065002 (2003).
- K. Lorek, J. Louko, and A. Dragan, Ideal clocks—a convenient fiction, Classical Quantum Gravity 32, 175003 (2015).
- A. M. Eisele, On the behaviour of an accelerated clock, Helv. Phys. Acta 60, 1024 (1987).
- D. H. Frisch and J. H. Smith, Measurement of the relativistic time dilation using -mesons, Am. J. Phys. 31, 342 (1963).
- V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations (Kluwer Academic Publisher, Dordrecht, The Netherlands, 1990).
- I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1980), formula 7.377.
