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arXiv physics/0005023physics.acc-ph
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圆形加速器动态孔径的解析估算

Analytical estimation of the dynamic apertures of circular accelerators

Jie Gao

摘要:

通过考虑δ函数的六极、八极和十极扰动,并利用差分作用角变量方程,我们得到了估算单六极、单八极和单十极(一般为单2 $m$极)圆加速器动态孔径的一些有用的解析公式。它们的组合效应是根据奇里科夫随机运动的发病标准。并与数值模拟结果进行了比较,两者吻合较好.这些公式已用于确定圆形对撞机中束-束限制动态孔径。

英文摘要:

By considering delta function sextupole, octupole, and decapole perturbations and using difference action-angle variable equations, we find some useful analytical formulae for the estimation of the dynamic apertures of circular accelerators due to single sextupole, single octupole, single decapole (single 2$m$ pole in general). Their combined effects are derived based on the Chirikov criterion of the onset of stochastic motions. Comparisons with numerical simulations are made, and the agreement is quite satisfactory. These formulae have been applied to determine the beam-beam limited dynamic aperture in a circular collider.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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