Beam-Beam Resonances for Different Collision Schemes

TL;DR

This paper investigates how different collision schemes affect beam-beam resonances, providing detailed simulations to illustrate the conditions under which these resonances are suppressed or excited, thereby supporting the Crab Waist collision scheme's advantages.

Contribution

It offers comprehensive 2D betatron tune scans for various collision schemes, visually demonstrating resonance behaviors and supplementing previous qualitative explanations.

Findings

Resonances are suppressed in Crab Waist scheme

Beam-beam resonances vary with collision parameters

Simulations illustrate resonance appearance and disappearance

Abstract

One of the main advantages of proposed by P. Raimondi "Crab Waist" collision scheme is a strong suppression of betatron resonances excited by beam-beam interaction. Some qualitative explanations with numerical examples, describing beam-beam resonances for different collision schemes, were given in arXiv:physics/0702033. This paper can be considered as an "appendix" (additional illustration) to that one. We performed a number of full 2D betatron tune scans (beam-beam simulations) for different collision schemes, so one can easily see how the beam-beam resonances appear and disappear, depending on the colliding conditions.