Skip to main content
SpringerLink
Log in

Non-exponential decoherence of radio-frequency resonance rotation of spin in storage rings

  • Fields, Particles, and Nuclei
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

Precision experiments, such as the search for electric dipole moments of charged particles using radio-frequency spin rotators in storage rings, demand for maintaining the exact spin resonance condition for several thousand seconds. Synchrotron oscillations in the stored beam modulate the spin tune of off-central particles, moving it off the perfect resonance condition set for central particles on the reference orbit. Here, we report an analytic description of how synchrotron oscillations lead to non-exponential decoherence of the radio-frequency resonance driven up–down spin rotations. This non-exponential decoherence is shown to be accompanied by a nontrivial walk of the spin phase. We also comment on sensitivity of the decoherence rate to the harmonics of the radio-frequency spin rotator and a possibility to check predictions of decoherence-free magic energies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. JEDI Collab., Proposals. http://collaborations.fzjuelich.de/ikp/jedi/.

  2. V. Anastassopoulos, S. Andrianov, R. Baartman, et al., Rev. Sci. Instrum. 87 (11), 115116 (2016); arXiv:1502.04317 [physics.acc-ph].

    Article  ADS  Google Scholar 

  3. Y. F. Orlov, W. M. Morse, and Y. K. Semertzidis, Phys. Rev. Lett. 96, 214802 (2006); hep-ex/0605022.

    Article  ADS  Google Scholar 

  4. P. Benati, D. Chiladze, J. Dietrich, et al., Phys. Rev. ST Accel. Beams 15, 124202 (2012).

    Article  ADS  Google Scholar 

  5. F. Rathmann, A. Saleev, and N. Nikolaev, J. Phys.: Conf. Ser. 447, 012011 (2013).

    Google Scholar 

  6. G. Guidoboni E. J. Stephenson, Yu. F. Orlov, et al. (JEDI Collab.), Phys. Rev. Lett. 117, 054801 (2016).

    Article  ADS  Google Scholar 

  7. N. Hempelmann V. Hejny, J. Pretz, et al. (JEDI Collab.), Phys. Rev. Lett. 119 (1), 014801 (2017); arXiv:1703.07561 [physics.acc-ph].

    Article  ADS  Google Scholar 

  8. F. G. Tricomi, Integral Equations, Vol. 5 of Pure and Applied Mathematics (Dover, New York, 1985).

    Google Scholar 

  9. M. S. Rosenthal, PhD Thesis (RWTH Aachen Univ., 2016).

    Google Scholar 

  10. A. Lehrach, B. Lorentz, W. Morse, N. Nikolaev, and F. Rathmann, arXiv:1201.5773 [hep-ex].

  11. A. Saleev, N. N. Nikolaev, F. Rathmann, et al. (JEDI Collab.), Phys. Rev. Accel. Beams 20, 072801 (2017); arXiv:1703.01295 [physics.acc-ph].

    Article  ADS  Google Scholar 

  12. N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillation (Gordon and Breach, New York, 1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Kernphysik, Forschungszentrum Jülich, Jülich, 52425, Germany

    A. Saleev, F. Rathmann, F. Hinder & J. Pretz

  2. Samara National Research University, Samara, 443086, Russia

    A. Saleev

  3. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia

    N. N. Nikolaev

  4. Moscow Institute for Physics and Technology (State University), Dolgoprudnyi, Moscow region, 141700, Russia

    N. N. Nikolaev

  5. III. Physikalisches Institut B, RWTH Aachen University, Aachen, 52056, Germany

    F. Hinder, J. Pretz & M. Rosenthal

  6. JARA-FAME (Forces and Matter Experiments), Forschungszentrum Jülich and RWTH Aachen University, Aachen, 52056, Germany

    J. Pretz

  7. CERN, Route de Meyrin, Meyrin, 1217, Switzerland

    M. Rosenthal

Authors
  1. A. Saleev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. N. Nikolaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. Rathmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. F. Hinder
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Pretz
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. M. Rosenthal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. N. Nikolaev.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saleev, A., Nikolaev, N.N., Rathmann, F. et al. Non-exponential decoherence of radio-frequency resonance rotation of spin in storage rings. Jetp Lett. 106, 213–216 (2017). https://doi.org/10.1134/S0021364017160044

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364017160044

Search

Navigation