Effect of Tune Modulation on the Transverse Stability of Storage Ring

  • The transverse stability is a critical issue in circular accelerator. In this paper, we analysed the effect of tune modulation on a FODO lattice with sextupole nonlinear through estimating the dynamic aperture including the influence of the distortion along the phase. It turned out that the tune modulation decreases the stability of particle in storage ring, the extent of this decrease depends largely on the amplitude and tune of modulation.
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  • [1] . Chirikov B V. Physics Report, 1979, 52: 2632. Roβbach J. DESY 89-023. 19893. HUANG H. Phys. Rev., 1993, E48: 4678-46884. CHEN T, Peggs. S Beam-Beam Tune Modulation, the Driven Gravity Pendulum, and Josephson Junctions. Proceedings of Beam-Beam Effectsin Circular Colliders. 98-105. In Novosibirsk 19895. Zimmermann F. SLAC-PUB-458. 19946. Brüning O S. DESY. 94-0857. Altuna X. AIP Conf. Proc., 1991, 255: 355-3698. CHAO A. Phys. Rev. Lett., 1988, 61: 2752-27559. Lee S Y. Phys. Rev. Lett., 1991, 67: 3768-377110. Todesco E. Phys. Rev., 1996, E53: 4067-407611. XIA J W. Nucl. Instrum. Methods, 2002, A488: 11-2512. Brüning O S. DESY HERA 92-20. 199213. Willeke F. DESY 88-114. 198814. Lichtenberg A., Lieberman M A. Regular and Stochastic Motion. Springer15. Tennyson J, Lieberman M., Lichtenberg A J. Nonlinear Dynamics and the Beam-Beam Interaction. AIP Conference Proceedings 57. 15816. Satogat., CHEN T. Phys. Rev. Lett., 1992, 68: 1838-1841
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YANG Jian-Cheng, XIA Jia-Wen, WU Jun-Xia, XIA Guo-Xing, LIU Wei, YIN Xue-Jun, LIU Yong, ZHOU Xue-Mei and MAO Li-Jun. Effect of Tune Modulation on the Transverse Stability of Storage Ring[J]. Chinese Physics C, 2004, 28(11): 1203-1208.
YANG Jian-Cheng, XIA Jia-Wen, WU Jun-Xia, XIA Guo-Xing, LIU Wei, YIN Xue-Jun, LIU Yong, ZHOU Xue-Mei and MAO Li-Jun. Effect of Tune Modulation on the Transverse Stability of Storage Ring[J]. Chinese Physics C, 2004, 28(11): 1203-1208. shu
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Received: 2004-03-02
Revised: 1900-01-01
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Effect of Tune Modulation on the Transverse Stability of Storage Ring

    Corresponding author: YANG Jian-Cheng,
  • Institute of Modern Physics,the Chinese Academy of Sciences Lanzhou 730000,China2 The Graduate School of Chinese Academy of Sciences,Beijing 100049,China

Abstract: The transverse stability is a critical issue in circular accelerator. In this paper, we analysed the effect of tune modulation on a FODO lattice with sextupole nonlinear through estimating the dynamic aperture including the influence of the distortion along the phase. It turned out that the tune modulation decreases the stability of particle in storage ring, the extent of this decrease depends largely on the amplitude and tune of modulation.

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