Evolution of the accelerated charged vortex particle in an inhomogeneous magnetic lens

We present a detailed analysis of the capture and acceleration of a non-relativistic charged vortex particle (electron, positron, proton, etc.) with an orbital angular momentum in a field of an axisymmetric electromagnetic lens, typical for a linear accelerator. We account for the acceleration as we...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Baturin, S S, Grosman, D V, Sizykh, G K, Karlovets, D V
Format: Article
Language:English
Subjects:
Angular momentum
Inhomogeneity
Magnetic lenses
Relativistic particles
Wave packets
Online Access:Get full text
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Summary:We present a detailed analysis of the capture and acceleration of a non-relativistic charged vortex particle (electron, positron, proton, etc.) with an orbital angular momentum in a field of an axisymmetric electromagnetic lens, typical for a linear accelerator. We account for the acceleration as well as for the inhomogeneity of both electric and magnetic fields that may arise from some real-life imperfections. We establish conditions when the wave packet can be captured and successfully transported through the lens. We describe the transition process and explain how a free Laguerre-Gaussian packet could be captured into the Landau state of the lens preserving its structure for all moments in time. Several representative examples are provided to illustrate developed formalism.
ISSN:2331-8422
DOI:10.48550/arxiv.2207.10352