Quantum ring soliton formation by strongly nonlocal plasma wake field response to a relativistic electron beam
Authors: Jovanovic D., Fedele R., Tanjia F., De Nicola S., Belic M.
Autors Affiliation: Institute of Physics, University of Belgrade – P.O. Box 57, 11001 Belgrade, Serbia; Dipartimento di Scienze Fisiche, Universita Federico II – I-80126 Napoli, Italy; Istituto Nazionale di Ottica, CNR – Pozzuoli (NA), Italy; INFN Sezione di Napoli – Napoli, Italy; Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar
Abstract: The relativistic electron/positron particle beam propagation in overdense magnetized plasmas is studied theoretically, using a fluid plasma model and accounting for the quantum properties of individual particles. The collective character of the particle beam manifests through the macroscopic, beam created, plasma wake field. The transverse dynamics is described by the quantum Schrodinger equation for the single-particle wave function, within the Hartree mean-field approximation, coupled with the Poisson equations for the wake potential. The resulting nonlinear nonlocal Schrodinger equation is solved analytically in the strongly nonlocal regime, yielding breathing/wiggling Hermite-Gauss ring solitons. The nonstationary rings may be parametrically unstable. The conditions for instability and the growth rates are estimated analytically. Copyright (C) EPLA, 2012
Volume: 100 (5) Pages from: 55002 to: 55002
More Information: This work was supported in part by the grant No. 171006 of Serbian MSE. One of the authors (DJ) acknowledges support from fondo FAI of the Italian INFN and the kind hospitality of Dipartimento di Scienze Fisiche, Universita Federico II, Napoli. Support by the Qatar National Research Fund NPRP 09-462-1-074 project is gratefully acknowledged.DOI: 10.1209/0295-5075/100/55002Citations: 6data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-05-09References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here