- Open Access
Acceleration and spin direction control of tensor-polarized deuteron beams in a synchrotron
Phys. Rev. Accel. Beams 28, 094002 – Published 16 September, 2025
DOI: https://doi.org/10.1103/99jh-vtd1
Abstract
To investigate the internal spin structure of nucleons and explore fundamental phenomena such as parity and time-reversal symmetry violations, polarized deuteron beams are pivotal because they serve as a unique alternative to polarized neutron beams and allow for the exploration of tensor polarization—a critical feature of spin-1 systems that offers distinct insights beyond vector polarization. This study advances the understanding of tensor-polarized deuteron beam dynamics in synchrotrons, with direct relevance to the Electron-Ion Collider in China (EicC). By deriving spin tensor transfer matrices and validating their accuracy through numerical simulations, we demonstrate the tensor polarization evolution in bending magnets, solenoids, and quadrupoles. The analysis of depolarizing resonances during acceleration reveals negligible polarization losses under the EicC’s design parameters, ensuring the feasibility of high-precision spin experiments without dedicated polarization maintenance. Furthermore, the planar-constrained translational dynamics of spin tensors, fundamentally distinct from the rotational mechanisms governing spin vectors, offer novel strategies for spin manipulation in future accelerators. These results provide theoretical and computational foundations for spin tensor control in the EicC and broader applications in spin-correlation experiments.
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References (25)
- D. P. Anderle, V. Bertone, X. Cao, L. Chang, N. Chang, G. Chen, X. Chen, Z. Chen, Z. Cui, L. Dai et al., Electron-Ion Collider in China, Front. Phys. 16, 1 (2021).
- N. Nikolaev, F. Rathmann, A. Silenko, and Y. N. Uzikov, New approach to search for parity-even and parity-odd time-reversal violation beyond the Standard Model in a storage ring, Phys. Lett. B 811, 135983 (2020).
- B. Blinov, C. Chu, E. Courant, D. Crandell, W. Kaufman, A. Krisch, T. Nurushev, R. Phelps, D. Raczkowski, L. Ratner et al., First test of a partial Siberian snake during polarized beam acceleration, Phys. Rev. Lett. 73, 1621 (1994).
- H. Huang, L. Ahrens, M. Bai, K. Brown, E. Courant, C. Gardner, J. Glenn, R. Gupta, A. Luccio, W. MacKay et al., Acceleration of polarized protons in the AGS with two helical partial snakes, in Proceedings of the 2005 Particle Accelerator Conference (IEEE, New York, 2005), pp. 1404–1406.
- F. Méot, H. Huang, V. Ptitsyn, V. Ranjbar, G. Robert-Demolaize, V. Schoefer, and V. Morozov, RHIC optics and spin dynamics with snakes and rotators, Phys. Rev. Accel. Beams 25, 121002 (2022).
- H. Huang, S. Lee, and L. Ratner, The evolution of tensor polarization, in Proceedings of International Conference on Particle Accelerators (IEEE, New York, 1993), pp. 432–434.
- A. J. Silenko, General dynamics of tensor polarization of particles and nuclei in external fields, J. Phys. G 42, 075109 (2015).
- E. Courant and R. D. Ruth, Acceleration of polarized protons in circular accelerators, Technical Report No. BNL--51270, Brookhaven National Lab (BNL), Upton, NY, 1980.
- S.-Y. Lee, Spin Dynamics and Snakes in Synchrotrons (World Scientific Publishing Company, Singapore, 1997).
- H. Wu, T. Katayama, K. Hantanka, Y. Aoki, and N. Saito, The spin tracking study in RHIC for polarized proton, Technical Report No. BNL-103652-2014-IR, Brookhaven National Lab (BNL), Upton, NY, 1996.
- D. Sagan, bmad: A relativistic charged particle simulation library, Nucl. Instrum. Methods Phys. Res., Sect. A 558, 356 (2006).
- A. U. Luccio, Spin tracking in RHIC (code spink), in Proceedings of the Adriatico Research Conference on Trends in Collider Spin Physics (World Scientific, Singapore, 1997), p. 235.
- S.-Y. Lee, Accelerator Physics (World Scientific Publishing Company, Singapore, 2018).
- F. Lin, Towards full preservation of polarization of proton beam in the AGS, Ph.D. thesis, Indiana University, 2007.
- H. Grote and F. C. Iselin, The mad program (methodical accelerator design): Version 8.10; user’s reference manual, Technical Report No. CM-P00049316, European Organization for Nuclear Research (CERN), Geneva, Switzerland, 1993.
- V. Morozov, Z. Etienne, M. Kandes, A. Krisch, M. Leonova, D. Sivers, V. Wong, K. Yonehara, V. Anferov, H. Meyer et al., First spin flipping of a stored spin-1 polarized beam, Phys. Rev. Lett. 91, 214801 (2003).
- D. T. Abell, D. Meiser, V. H. Ranjbar, and D. P. Barber, Accurate and efficient spin integration for particle accelerators, Phys. Rev. ST Accel. Beams 18, 024001 (2015).
- J. Yang, J. Xia, G. Xiao, H. Xu, H. Zhao, X. Zhou, X. Ma, Y. He, L. Ma, D. Gao et al., High intensity heavy ion accelerator facility (HIAF) in China, Nucl. Instrum. Methods Phys. Res., Sect. B 317, 263 (2013).
- M. Froissart and R. Stora, Depolarisation d’un faisceau de protons polarises dans un synchrotron, Nucl. Instrum. Methods 7, 297 (1960).
- J. Buon and K. Steffen, Hera variable-energy “mini” spin rotator and head-on ep collision scheme with choice of electron helicity, Nucl. Instrum. Methods Phys. Res., Sect. A 245, 248 (1986).
- D. Raparia, Development of spin rotator and an absolute polarimeter for polarized He-3 at BNL, Technical Report No. BNL-209705-2019-COPA, Brookhaven National Lab (BNL), Upton, NY, 2019.
- Y. N. Filatov, A. Kondratenko, M. Kondratenko, Y. S. Derbenev, and V. Morozov, Transparent spin method for spin control of hadron beams in colliders, Phys. Rev. Lett. 124, 194801 (2020).
- Y. N. Filatov, A. M. Kondratenko, M. A. Kondratenko, E. D. Tsyplakov, A. V. Butenko, S. A. Kostromin, V. P. Ladygin, E. Syresin, I. L. Guryleva, A. A. Melnikov et al., Spin navigator based on correcting dipoles of the JINR nuclotron, JETP Lett. 116, 413 (2022).
- J. Buon, Techniques for longitudinal polarization in electron storage rings, in Electroweak Effects at High Energies (Springer, New York, 1983), pp. 413–427.
- M. Li, The acceleration and spin direction control of tensor-polarized deuteron beams in a synchrotron (data), Zenodo (2025), 10.5281/zenodo.15308410.