- Open Access
Design and nonlinear optimization of a one-fold lattice for the Super Tau-Charm Facility collider rings
Phys. Rev. Accel. Beams 29, 083703 – Published 28 August, 2026
DOI: https://doi.org/10.1103/44m8-gk5x
Abstract
The Super Tau-Charm Facility (STCF) is a proposed high-luminosity electron-positron collider operating at beam energies of 1–3.5 GeV, with a nominal peak-luminosity target exceeding at 2 GeV. At such low energies, the combined effects of beam-beam interactions in the crab-waist collision scheme, collective effects, and Touschek scattering impose stringent requirements on the dynamic aperture, momentum acceptance, and beam lifetime. This paper presents the design and nonlinear optimization of a one-fold lattice for the STCF collider rings. The design procedure consists of three main steps: lattice-independent optimization of the global machine parameters under luminosity, beam-beam, collective effects, and lifetime constraints; design of a compact interaction region (IR) with local chromatic correction and dedicated crab-waist sextupoles; and full-ring nonlinear optimization. The last step employs a two-stage strategy combining analysis-driven preoptimization with tracking-based refinement. Particular emphasis is placed on controlling momentum- and amplitude-dependent nonlinearities in the IR and preserving the nonlinear transparency of the crab-waist sextupole pair. At 2 GeV, the optimized lattice achieves a theoretical peak luminosity of while maintaining sufficient dynamic aperture, momentum acceptance, and a Touschek lifetime of approximately 600 s. These results demonstrate the effectiveness of the proposed staged optimization strategy and provide a systematic framework for the design of high-luminosity, low-energy electron-positron colliders.
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References (41)
- P. Raimondi, Status on SuperB Effort, 2nd SuperB Workshop (INFN-LNF, Frascati, 2006).
- P. Raimondi, D. N. Shatilov, and M. Zobov, Beam-beam issues for colliding schemes with large Piwinski angle and crabbed waist, arXiv:physics/0702033.
- P. Raimondi, D. Shatilov, and M. Zobov, Suppression of beam-beam resonances in crab waist collisions, in Proceedings of the 11th European Particle Accelerator Conference (EPAC 2008) (2008), pp. 2620–2622.
- M. Zobov, D. Alesini, M. E. Biagini et al., Test of crab-waist collisions at the DANE factory, Phys. Rev. Lett. 104, 174801 (2010).
- Y. Ohnishi, T. Abe, K. Akai, Y. Arimoto, K. Egawa, S. Enomoto, H. Fukuma, Y. Funakoshi, K. Furukawa, N. Iida et al., SuperKEKB operation using crab waist collision scheme, Eur. Phys. J. Plus 136, 1023 (2021).
- A. Abada, M. Abbrescia, S. S. AbdusSalam, I. Abdyukhanov, J. Abelleira Fernandez, A. Abramov, M. Aburaia, A. O. Acar, P. R. Adzic, P. Agrawal et al., FCC-ee: The Lepton collider: Future circular collider conceptual design report volume 2, Eur. Phys. J. ST 228, 261 (2019).
- CEPC Study Group, CEPC conceptual design report: Volume 1-accelerator, arXiv:1809.00285.
- H. Peng, Y.-H. Zheng, and X.-R. Zhou, Super Tau-Charm Facility of China, Physics 49, 513 (2020).
- X.-C. Ai, L.-P. An, S.-Z. An, Y. Bai, Z.-H. Bai, O. Bakina, J.-C. Bao, V. Batozskaya, A. Belias, M. E. Biagini et al., Conceptual design report of the Super Tau-Charm Facility: The accelerator, Nucl. Sci. Tech. 36, 242 (2025).
- M. Biagini, R. Boni, M. Boscolo, A. Chiarucci, R. Cimino, A. Clozza, A. Drago, S. Guiducci, C. Ligi, G. Mazzitelli et al., Tau/Charm factory accelerator report, arXiv:1310.6944.
- V. Anashin et al., Super Charm-Tau Factory: Conceptual design report, Tech. Rep. (Budker Institute of Nuclear Physics, Novosibirsk Russia, 2018).
- A. Y. Barnyakov et al., The project of the Super Charm-Tau Factory in Novosibirsk, J. Phys. Conf. Ser. 1561, 012004 (2020).
- SuperB Collaboration, SuperB progress reports—accelerator, arXiv:1009.6178.
- SuperKEKB design report.
- Q. Luo, W. Gao, J. Lan, W. Li, D. Xu et al., Progress of conceptual study for the accelerators of a 2–7 GeV Super Tau Charm Facility at China, in Proceedings of the 10th Int. Particle Accelerator Conf. (IPAC’19), Melbourne, Australia, 19–24 May 2019 (JACOW Publishing, Geneva, Switzerland, 2019), pp. 643–645.
- J. Q. Lan, Q. Luo, C. Zhang, W. W. Gao, Y. Xu, and Y. Bai, Design of beam optics for a Super Tau-Charm Factory, J. Instrum. 16, T07001 (2021).
- T. Liu, C. Zhang, L. Wang, and Q. Luo, Design of a hybrid seven-bend-achromat-based lattice for a Super Tau Charm Facility, in Proceedings of Ipac2023, Venice, Italy, 07–12 May 2023 (JACoW Publishing, Venice, Italy, 2023), Vol. 14, pp. 768–771.
- T. Liu, L. Zhang, S. Li, L. Wang, and Q. Luo, Recent progress and future plan for STCF collider ring lattice design, Mod. Phys. Lett. A 39, 2440005 (2024).
- T. Liu, L. Wang, and Q. Luo, Study of chromaticity correction methods for a hybrid Multi-bend-achromat lattice, J. Phys. Conf. Ser. 2709, 012001 (2024).
- Y. Zou, L. Zhang, T. Liu, P. Yang, W. Li, T. He, D. Zhou, K. Ohmi, S. Li, Z. Yu et al., Optics design of the Super Tau-Charm Facility collider rings, Nucl. Instrum.Methods Phys. Res., Sect. A 1084, 171191 (2025).
- N. S. Dikansky and D. V. Pestrikov, Effect of the crab waist and of the micro-beta on the beam–beam instability, Nucl. Instrum. Methods Phys. Res., Sect. A 600, 538 (2009).
- D. Zhou, Formulae of luminosity and beam-beam tune shifts for flat-beam asymmetric colliders, arXiv:2212.12706.
- P. Raimondi and M. Zobov, Tune shift in beam-beam collisions with a crossing angle, Technical note G-58 (DAΦNE, 2003).
- K. Ohmi, N. Kuroo, K. Oide, D. Zhou, and F. Zimmermann, Coherent beam-beam instability in collisions with a large crossing angle, Phys. Rev. Lett. 119, 134801 (2017).
- T. Liu et al., Nonlinear optimization for the Super Tau-Charm Facility, in The 7th International Workshop on Future Tau Charm Facilities (FTCF2025), Huangshan, China (2025).
- P. Raimondi, S. M. Liuzzo, L. Farvacque, S. White, and M. Hofer, Local chromatic correction optics for future circular collider , Phys. Rev. Accel. Beams 28, 021002 (2025).
- K. Oide, M. Aiba, S. Aumon, M. Benedikt, A. Blondel, A. Bogomyagkov, M. Boscolo, H. Burkhardt, Y. Cai, A. Doblhammer et al., Design of beam optics for the future circular collider collider rings, Phys. Rev. Accel. Beams 19, 111005 (2016).
- T. Liu, PAMKIT-Particle Accelerator Modeling Kit, https://pypi.org/project/PAMKIT (2025).
- SAD Home Page, https://acc-physics.kek.jp/SAD.
- L. Zhang, T. Liu, Y. Zou, P. Yang, D. Zhou, J. Bao, Z. Yu, Y. Jin, Y. Mo, S. Li, T. He, Q. Luo, and J. Tang, Crab-waist interaction region design and integration for the Super Tau-Charm Facility, arXiv:2510.09198.
- A. Bogomyagkov, E. Levichev, and P. Piminov, Final focus designs for crab waist colliders, Phys. Rev. Accel. Beams 19, 121005 (2016).
- K. L. Brown and R. V. Servranckx, First- and second-order charged particle optics, in AIP Conference Proceedings (AIP, 1985), Vol. 127, pp. 62–138.
- J. Bengtsson, The sextupole scheme for the Swiss Light Source (SLS): An analytic approach, SLS-Note 9, 97 (1997). 10.55402/psi:86776.
- A. Bogomyagkov, Chromaticity correction of the interaction region, in The First IHEP-BINP CEPC Accelerator Collaboration Workshop, Beijing (2016).
- B. W. Montague, Linear optics for improved chromaticity correction, Tech. Rep. (SCAN-0009131, 1979).
- Y. Cai, Y. Nosochkov, J. S. Berg, J. Kewisch, Y. Li, D. Marx, C. Montag, S. Tepikian, F. Willeke, G. Hoffstaetter, and J. Unger, Optimization of chromatic optics in the electron storage ring of the electron-ion collider, Phys. Rev. Accel. Beams 25, 71001 (2022).
- A. Bogomyagkov, Single-particle effects limiting the parameters of modern synchrotron radiation sources and electron-positron colliders, Dr.Sc. thesis (Doktor Nauk) [Budker Institute of Nuclear Physics, Siberian Branch, Russian Academy of Sciences, Siberian, 2024 (in Russian)], https://www.inp.nsk.su/images/Bogomyagkov_disser.pdf.
- A. Bogomyagkov, E. Levichev, and S. Sinyatkin, Touschek lifetime and luminosity optimization for Russian Super Charm Tau Factory, J. Instrum. 19, P02018 (2024).
- B. Wei, Z. Bai, J. Tan, L. Wang, and G. Feng, Minimizing the fluctuation of resonance driving terms in dynamic aperture optimization, Phys. Rev. Accel. Beams 26, 84001 (2023).
- K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans. Evol. Comput. 6, 182 (2002).
- B. Riemann, M. Aiba, J. Kallestrup, and A. Streun, Efficient algorithms for dynamic aperture and momentum acceptance calculation in synchrotron light sources, Phys. Rev. Accel. Beams 27, 94002 (2024).