Stable and quality-preserving acceleration of electron beams in plasma-based accelerators*

Stable and quality-preserving acceleration of electron beams is a prerequisite for the realization of plasma-based colliders. In this context, the hose instability is a crucial challenge. It is seeded by transverse beam or plasma phase space asymmetries. Beam centroid displacements are amplified along the beam and during the propagation in the plasma, thereby leading to beam breakup.
It was recently shown that the hose instability can be mitigated if the longitudinal or transverse wakefields vary along the beam, such that a head-to-tail decoherence of the betatron motion disrupts the resonant coupling between the beam slices via the plasma.
While these mitigation mechanisms can be effective for drive beams in the blowout regime or for trailing beams in the quasi-linear regime, they do not apply to mono-energetic trailing beams in the beam-loaded blowout regime.
In this contribution, we investigate theoretically and computationally the possibility to accelerate electron beams to multi-GeV energies in plasma-based accelerators in the blowout regime, while maintaining the energy spread and preserving a sub-micrometer emittance.