Coherent quantum hollow beam creation in a plasma wakefield accelerator
Abstract
A theoretical investigation of the propagation of a relativistic electron (or positron) particle beam in an overdense magnetoactive plasma is carried out within a fluid plasma model, taking into account the individual quantum properties of beam particles. It is demonstrated that the collective character of the particle beam manifests mostly through the selfconsistent macroscopic plasma wakefield created by the charge and the current densities of the beam. The transverse dynamics of the beamplasma system is governed by the Schrödinger equation for a singleparticle wavefunction derived under the Hartree mean field approximation, coupled with a Poissonlike equation for the wake potential. These two coupled equations are subsequently reduced to a nonlinear, nonlocal Schrödinger equation and solved in a strongly nonlocal regime. An approximate Glauber solution is found analytically in the form of a HermiteGauss ring soliton. Such nonstationary (`breathing' and `wiggling') coherent structure may be parametrically unstable and the corresponding growth rates are estimated analytically.
 Publication:

Journal of Plasma Physics
 Pub Date:
 August 2013
 DOI:
 10.1017/S0022377813000111
 Bibcode:
 2013JPlPh..79..397J