SPINOR DESCRIPTION OF FROZEN AND QUASI-FROZEN SPIN STRUCTURES FOR THE EDM MEASUREMENT IN A FREQUENCY DOMAIN
https://doi.org/10.56304/S2079562925010142
EDN: EXNTIJ
Abstract
The main features of the frozen and quasi-frozen spin lattice were calculated in the spinor formalism, such as a spin-tune and a direction of the invariant spin axis. As the radial field perturbations play a crucial role in the Electric Dipole Moment (EDM) measurement procedure, the difference of frozen and quasi-frozen spin lattices was investigated in this regard. The possibility of subtraction of a nonlinear term in the spin-precession frequency with the change of the injection direction in the quasi-frozen case was investigated. Furthermore, the frequency summation law was derived for the structure of a general form with perturbations in the radial, vertical and longitudinal directions.
About the Authors
A. A. Melnikov
Institute for Nuclear Research, Russian Academy of Sciences;
Landau Institute of Theoretical Physics, Russian Academy of Sciences;
Moscow Institute of Physics and Technology (National Research University)
Russian Federation
Russian Federation
Yu. V. Senichev
Institute for Nuclear Research, Russian Academy of Sciences;
Moscow Institute of Physics and Technology (National Research University)
Russian Federation
Russian Federation
A. E. Aksentyev
Institute for Nuclear Research, Russian Academy of Sciences;
Moscow Institute of Physics and Technology (National Research University);
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
S. D. Kolokolchikov
Institute for Nuclear Research, Russian Academy of Sciences;
Moscow Institute of Physics and Technology (National Research University)
Russian Federation
Russian Federation
References
1. Abusaif F. et al. (CpEDM Collab.). Storage Ring to Search for Electric Dipole Moments of Charged Particles: Feasibility Study. CERN Yellow Reports: Monographs. 2021. V. 3. CERN-2021-003. Geneva: CERN. https://doi.org/10.23731/CYRM-2021-003
2. Senichev Y., Aksentyev A., Kolokolchikov S., Melnikov A., Ladygin V., Syresin E., Nikolaev N. // J. Phys.: Conf. Ser. 2022. V. 2420. P. 012052. https://doi.org/10.1088/1742-6596/2420/1/012052.
3. Senichev Y., Aksentyev A., Ivanov A., Valetov E. // arXiv:1711.06512. 2017. https://doi.org/10.48550/arXiv.1711.06512
4. Chao A., Mess K., Tigner M., Zimmermann F. Handbook of Accelerator Physics and Engineering. 2nd Ed. 2013. Singapore: World Scientific. P. 183–185.
Review
For citations:
Melnikov A.A., Senichev Yu.V., Aksentyev A.E., Kolokolchikov S.D. SPINOR DESCRIPTION OF FROZEN AND QUASI-FROZEN SPIN STRUCTURES FOR THE EDM MEASUREMENT IN A FREQUENCY DOMAIN. Nuclear Physics and Engineering. 2025;16(5):640-644. (In Russ.) https://doi.org/10.56304/S2079562925010142. EDN: EXNTIJ
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