Abstract

In a plasma-accelerator-based linear collider, the density of matched, low-emittance, high-energy particle bunches required for collider applications can be orders of magnitude above the background ion density, leading to ion motion, perturbation of the focusing fields, and, hence, to beam emittance growth. By analyzing the response of the background ions to an ultrahigh density beam, analytical expressions, valid for nonrelativistic ion motion, are derived for the transverse wakefield and for the final (i.e., after saturation) bunch emittance. Analytical results are validated against numerical modeling. Initial beam distributions are derived that are equilibrium solutions, which require head-to-tail bunch shaping, enabling emittance preservation with ion motion.

Highlights

  • Plasma accelerators (PAs) have received substantial theoretical and experimental interest because of their ability to produce large accelerating gradients, enabling compact accelerating structures [1]

  • In a PA, a short and intense laser pulse or charged-particle beam propagating in a plasma drives an electron plasma wave

  • Even though the properties of future linear colliders (LCs) will be determined by high-energy physics experiments that are currently underway, it has been anticipated that a center-of-mass energy ≳1 TeV and a luminosity ≳1034 cm−2 s−1 will be required [11,12]

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Summary

INTRODUCTION

Plasma accelerators (PAs) have received substantial theoretical and experimental interest because of their ability to produce large accelerating gradients, enabling compact accelerating structures [1]. Enough so that the background ions move significantly during the bunch transit, the transverse wake can be strongly perturbed (e.g., the wakefield strength acquires a nonlinear dependence from the transverse coordinate and changes slice-by-slice along the bunch), resulting in a potentially severe degradation of the bunch emittance. This is anticipated to occur for high bunch densities, longer bunches, and lighter background ions, and can be quantified by the parameter.

TRANSVERSE WAKEFIELD IN PRESENCE OF ION MOTION
EMITTANCE GROWTH FROM ION MOTION
EXPRESSION FOR THE ION-MOTION INDUCED EMITTANCE GROWTH AT SATURATION
EQUILIBRIUM BUNCH DISTRIBUTIONS ENABLING ION MOTION WITHOUT EMITTANCE GROWTH
CONCLUSIONS
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