Abstract
Plasma wake-field acceleration is one of the main technologies being developed for future high-energy colliders. Potentially, it can create a cost-effective path to the highest possible energies for e+e- or {\gamma}-{\gamma} colliders and produce a profound effect on the developments for high-energy physics. Acceleration in a blowout regime, where all plasma electrons are swept away from the axis, is presently considered to be the primary choice for beam acceleration. In this paper, we derive a universal efficiency-instability relation, between the power efficiency and the key instability parameter of the trailing bunch for beam acceleration in the blowout regime. We also show that the suppression of instability in the trailing bunch can be achieved through BNS damping by the introduction of a beam energy variation along the bunch. Unfortunately, in the high efficiency regime, the required energy variation is quite high, and is not presently compatible with collider-quality beams. We would like to stress that the development of the instability imposes a fundamental limitation on the acceleration efficiency, and it is unclear how it could be overcome for high-luminosity linear colliders. With minor modifications, the considered limitation on the power efficiency is applicable to other types of acceleration.
Highlights
In recent years, the subject of plasma acceleration has been of great impact and interest for the science community, as demonstrated by many publications in leading science journals [1,2,3,4,5,6,7,8,9,10]
We would like to stress that the development of the instability imposes a fundamental limitation on the acceleration efficiency, and it is unclear how it could be overcome for high-luminosity linear colliders
Two basic concepts for a linear collider based on plasma wakefield acceleration (PWFA) were proposed and studied [11,12]
Summary
The subject of plasma acceleration has been of great impact and interest for the science community, as demonstrated by many publications in leading science journals [1,2,3,4,5,6,7,8,9,10]. In this paper, we focus on the limitations of the electron bunch acceleration for the “strong” bubble regime, which, we believe, is the only viable option for PWFA collider schemes. Contrary to conventional rf cavities which have very large quality factors, plasma oscillations in a bubble regime have a quality factor of about 1 In this case, only one bunch can be accelerated, and the efficiency of the acceleration is determined by a fraction of the energy transferred from the bubble to this bunch. The BBU ( known as the hose) instability in PWFA concepts has been considered previously only for drive bunches [14,15] These considerations are important, the quality of the drive bunch (i.e., its emittance and energy spread) affects the collider luminosity only in an indirect way. Our criterion, presented below, should be considered as the best possible outcome, not necessarily achievable in practice
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