Abstract
The nonlinear regime of the beam-beam instability for flat beams is considered. Excitation of coherent modes and mode interaction is studied above the threshold of instability. It is shown that the exponential growth of the linear approximation may saturate, leading to a finite growth of transverse emittance.
Highlights
The beam blowup due to the beam-beam interaction is one of the main factors limiting luminosity and lifetime in circular colliders
This paper considers two mechanisms of beam-beam blowup: one is due to harmonics of periodic beam-beam kicks generated by a rigid bunch of the opposite beam, and the second mechanism is due to saturation of the linearly unstable beam-beam coherent modes
The effect of the coherent beam-beam instability on the transverse emittance is considered for flat beams
Summary
The beam blowup due to the beam-beam interaction is one of the main factors limiting luminosity and lifetime in circular colliders. This paper considers two mechanisms of beam-beam blowup: one is due to harmonics of periodic beam-beam kicks generated by a rigid bunch of the opposite beam, and the second mechanism is due to saturation of the linearly unstable beam-beam coherent modes. The latter is similar to the microwave instability. This mechanism can be described as excitation of unstable modes which, in their turn, modify the bunch distribution to a new steady-state equilibrium We hope these mechanisms may explain emittance blowup in the flip-flop regime.
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