We have carried out a strong-strong simulation to study the beam-beam effect in a circular electron-positron collider. In the simulation, both the positron and electron beams are represented by macroparticles, and the interaction between the two beams is obtained by solving the Poisson equation for the charge distribution of the macroparticles. Using the simulation, rye investigate the beam-beam limit and the coherent beam-beam tune shift, two characteristic phenomena of the beam-beam effect. We also study collision with a finite crossing angle, and verify its feasibility for the KEKB factory. Our results for KEKB yield an estimated luminosity of 8.5X10(33) cm(-2) s(-1), only slightly lower than the design value of 1 X 10(34) cm(-2) s(-1). [References: 23]
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机译：我们已经进行了强烈的模拟，以研究圆形电子-正电子对撞机中的电子束效应。在模拟中，正电子束和电子束都由大粒子表示，并且通过求解用于大粒子的电荷分布的泊松方程获得两个电子束之间的相互作用。黑麦通过仿真研究了光束极限和相干光束的频移，这是光束效应的两个特征现象。我们还研究了具有有限交叉角的碰撞，并验证了其在KEKB工厂的可行性。我们的KEKB结果产生的估计光度为8.5X10（33）cm（-2）s（-1），仅略低于1 X 10（34）cm（-2）s（-1）的设计值。 [参考：23]
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