T. Chen et al., HIGH-ORDER HORIZONTAL RESONANCES IN THE BEAM-BEAM INTERACTION, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 402(1), 1998, pp. 21-26
This paper studies the characteristics of horizontal resonances excite
d by the beam-beam interaction. First-order perturbation theory and si
mulations show that high-order horizontal resonances are exceptionally
strong at large amplitudes. The orders of these resonances are so hig
h that they may mistakenly be ignored, and they can result in a short
lifetime.