Abstract

A formula is obtained for the luminosity of a collider at the collision of two beams that differ, generally speaking, by their parameters (asymmetric colliders). The formula is valid for counterpropagating and merging beams with coincident longitudinal axes. Three special cases of the formula are considered: collision of two identical axially symmetric bunched beams, collision of a bunch with a coasting beam, and collision of two coasting beams. Collision of intersecting beams is briefly considered, and the method for the luminosity calculation is formulated. The synchronization problem is considered for collisions of asymmetric beams. A method is presented for optimizing parameters of a cyclic collider by minimizing betatron frequency shifts caused by the effect of the space charge of the beams. Numerical examples of luminosity calculations for several types of asymmetric colliders are given.

中文翻译：

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离子对撞机的发光度

摘要

对于两个通常由其参数不同的光束（非对称对撞机）碰撞时，对撞机的发光度获得了一个公式。该公式对于纵向轴重合的光束的反向传播和合并有效。考虑该公式的三种特殊情况：两个相同的轴对称束状梁的碰撞，一束与滑行梁的碰撞以及两个滑行梁的碰撞。简要考虑了相交光束的碰撞，提出了计算光度的方法。对于非对称光束的碰撞考虑了同步问题。提出了一种通过最小化由光束的空间电荷的影响引起的电子加速器频移来优化循环对撞机的参数的方法。