- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Accelerators and Beams

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Resonant island trapping in a hybrid multibend achromat synchrotron light source

E. C. Cortés García1,2, N. Carmignani3, F. Ewald3, S. A. Antipov2, K. Scheidt3, S. White3, and I. V. Agapov2

PDF

Phys. Rev. Accel. Beams 29, L020705 – Published 27 February, 2026

DOI: https://doi.org/10.1103/9883-ht1b

Abstract

We report the first direct experimental observations of resonance island formation in a hybrid multibend achromat (HMBA) storage ring lattice. Using a low-emittance electron beam, we achieved high-precision measurements that resolve the onset, evolution, and transient dynamics of particle capture near resonance islands. These measurements are compared with simulation predictions, enabling a direct validation of HMBA lattice models. The experimental results also provide new insight into the capture and trapping mechanisms governing the island population, as well as beam lifetime in resonance islands. Together, these findings establish a detailed experimental basis for understanding nonlinear dynamics in next-generation HMBA-based synchrotron light sources.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (32)

  1. D. Einfeld, M. Plesko, and J. Schaper, First multi-bend achromat lattice consideration, J. Synchrotron Radiat. 21, 856 (2014).
  2. P. Raimondi et al., The extremely brilliant source storage ring of the European Synchrotron Radiation Facility, Commun. Phys. 6, 82 (2023).
  3. H. Bartosik, G. Franchetti, and F. Schmidt, Observation of fixed lines induced by a nonlinear resonance in the CERN super proton synchrotron, Nat. Phys. 20, 928 (2024).
  4. V. Danilov and S. Nagaitsev, Nonlinear accelerator lattices with one and two analytic invariants, Phys. Rev. ST Accel. Beams 13, 084002 (2010).
  5. N. Kuklev, Y.-K. Kim, S. Nagaitsev, A. Romanov, and A. Valishev, Experimental studies of single invariant quasi-integrable nonlinear optics at IOTA, in Proceedings of the 3rd North American Particle Accelerator Conference (NAPAC2019) (JACoW, Geneva, Switzerland, 2019), TUPLM08, 10.18429/JACoW-NAPAC2019-TUPLM08.
  6. P. Raimondi and A. Seryi, Novel final focus design for future linear colliders, Phys. Rev. Lett. 86, 3779 (2001).
  7. J. Bengtsson and A. Streun, Robust design strategy for SLS-2, https://ados.web.psi.ch/SLS2/Notes/SLS2-BJ84-001_RobustDesign.pdf (2017).
  8. M. Cornacchia and L. Evans, The effects of magnetic nonlinearities on a stored proton beam and their implications for superconducting storage rings, Part. Accel. 19, 125 (1986), https://cds.cern.ch/record/163803/.
  9. A. Chao et al., Experimental investigation of nonlinear dynamics in the Fermilab Tevatron, Phys. Rev. Lett. 61, 2752 (1988).
  10. S. Y. Lee et al., Experimental determination of a nonlinear Hamiltonian in a synchrotron, Phys. Rev. Lett. 67, 3768 (1991).
  11. D. D. Caussyn et al., Experimental studies of nonlinear beam dynamics, Phys. Rev. A 46, 7942 (1992).
  12. Y. Wang et al., Effects of tune modulation on particles trapped in 1D resonance islands, Phys. Rev. E 49, 5697 (1994).
  13. M. Ellison et al., Betatron coupling correction at the IUCF cooler, leading to improved determination of fourth-order resonance Hamiltonian, in Stability of Particle Motion in Storage Rings (AIP Publishing, Upton, NY, 1992), pp. 170–176, https://pubs.aip.org/aip/acp/article/292/1/170/614657/Betatron-coupling-correction-at-the-IUCF-cooler.
  14. S. Y. Lee, Single particle dynamics at synchrobetatron coupling resonances, Phys. Rev. E 49, 5706 (1994).
  15. S. T. Wang, V. Khachatryan, and P. Nishikawa, Lattice design and experimental studies of nonlinear resonance at the Cornell Electron Storage Ring, Phys. Rev. Accel. Beams 26, 104001 (2023).
  16. M. Ries, J. Feikes, T. Goetsch, P. Goslawski, J. Li, M. Ruprecht, A. Schälicke, G. Wüstefeld et al., Transverse resonance island buckets at the MLS and BESSY II, in Proceedings of the International Particle Accelerator Conference, IPAC (JACoW, Geneva, Switzerland, 2015), Vol. 15, pp. 138–140, 10.18429/JACoW-IPAC2015-MOPWA021.
  17. K. Holldack, C. Schüßler-Langeheine, N. Pontius, T. Kachel, P. Baumgärtel, Y. W. Windsor, D. Zahn, P. Goslawski, M. Koopmans, and M. Ries, Two-color synchrotron x-ray spectroscopy based on transverse resonance island buckets, Sci. Rep. 12, 14876 (2022).
  18. D. K. Olsson and A. Andersson, Studies on transverse resonance island buckets in third and fourth generation synchrotron light sources, Nucl. Instrum. Methods Phys. Res., Sect. A 1017, 165802 (2021).
  19. R. Cappi and M. Giovannozzi, Novel method for multiturn extraction: Trapping charged particles in islands of phase space, Phys. Rev. Lett. 88, 104801 (2002).
  20. M. A. Fraser, B. Goddard, V. Kain, M. Pari, F. M. Velotti, L. S. Stoel, and M. Benedikt, Demonstration of slow extraction loss reduction with the application of octupoles at the CERN Super Proton Synchrotron, Phys. Rev. Accel. Beams 22, 123501 (2019).
  21. E. C. Cortés García, I. V. Agapov, and W. Hillert, Design of a resonant slow extraction from low-emittance electron booster rings using transverse resonance island buckets, Phys. Rev. Accel. Beams 28, 011601 (2025).
  22. pyat documentation, https://atcollab.github.io/at/p/index.html [accessed: 2025-04-09].
  23. S. Liuzzo, N. Carmignani, L. Carver, L. Farvacque, T. Perron, P. Raimondi, and S. White, HMBA optics correction experience at ESRF, in Proceedings of the 12th International Particle Accelerator Conference, IPAC’21 (JACoW, Geneva, Switzerland, 2021), pp. 1462–1465, 10.18429/JACoW-IPAC2021-TUPAB048.
  24. J. Biasci, J.-F. Bouteille, N. Carmignani, J. Chavanne, D. Coulon, Y. Dabin, F. Ewald, L. Farvacque, L. Goirand, M. Hahn, J. Jacob, G. LeBec, S. Liuzzo, B. Nash, H. Pedroso-Marques, T. Perron, E. Plouviez, P. Raimondi, J.-L. Revol, and V. Serriere, A low-emittance lattice for the ESRF, Synchrotron Radiat. News 27, 8 (2014).
  25. K. M. Nam, J.-G. Hwang, Y. D. Yoon, and Y. W. Parc, Revised Hamiltonian near third-integer resonance and implications for an electron storage ring, Phys. Rev. Accel. Beams 27, 044001 (2024).
  26. N. Carmignani, L. Carver, S. Liuzzo, T. Perron, and S. White, Operation of the ESRF booster with the new EBS storage ring, in Proceedings of the 12th International Particle Accelerator Conference, IPAC’21 (JACoW, Geneva, Switzerland, 2021), pp. 221–224, 10.18429/JACoW-IPAC2021-MOPAB051.
  27. S. Liuzzo et al., Optimisation of the Touschek lifetime in synchrotron light sources using badger, in Proceedings of the 19th International Conference on Accelerator and Large Experimental Physics Control Systems, ICALEPCS2023, Cape Town, South Africa (JACoW, Geneva, Switzerland, 2023), MO3AO01, 10.18429/JACoW-ICALEPCS2023-MO3AO01.
  28. L. Torino, N. Benoist, F. Ewald, E. Plouviez, J. Poitou, B. Roche, K. Scheidt, F. Taoutaou, and F. Uberto, Overview on the diagnostics for EBS-ESRF, in Proceedings of the 8th International Beam Instrumentation Conference (JACoW, Geneva, Switzerland, 2019), MOAO03, 10.18429/JACoW-IBIC2019-MOAO03.
  29. M. G. Minty and F. Zimmermann, Measurement and Control of Charged Particle Beams, Particle Acceleration and Detection (Springer, Berlin, Heidelberg, 2003), 10.1007/978-3-662-08581-3.
  30. K. Holldack, C. Schüssler-Langeheine, P. Goslawski, N. Pontius, T. Kachel, F. Armborst, M. Ries, A. Schälicke, M. Scheer, W. Frentrup, and J. Bahrdt, Flipping the helicity of x-rays from an undulator at unprecedented speed, Commun. Phys. 3, 61 (2020).
  31. I. Agapov, S. Antipov, R. Bartolini, R. Brinkmann, Y.-C. Chae, E. C. Cortés García, D. Einfeld, T. Hellert, M. Huening, M. A. Jebramcik, J. Keil, C. Li, L. Malina, and R. Wanzenberg, Beam dynamics performance of the proposed PETRA IV storage ring, arXiv:2408.07995.
  32. E. C. Cortés García, Turn-by-turn data recorded at the ESRF-EBS for the resonance islands verification, Zenodo (2026), 10.5281/zenodo.18311006.

Outline

Information

Phys. Rev. Accel. Beams 29, L020705– Published 27 February, 2026
  • Received 20 May 2025
  • Accepted 12 December 2025
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation