CERN Accelerating science

Article
Report number arXiv:2202.04559
Title Manipulation of transverse emittances in circular accelerators by crossing non-linear 2D resonances
Author(s) Bazzani, A. (Bologna U. ; INFN, Bologna) ; Capoani, F. (Bologna U. ; INFN, Bologna ; CERN) ; Giovannozzi, M. (CERN)
Publication 2022-05-03
Imprint 2022-02-09
Number of pages 24
In: Eur. Phys. J. Plus 137 (2022) 594
DOI 10.1140/epjp/s13360-022-02797-2
Subject category physics.acc-ph ; Accelerators and Storage Rings
Accelerator/Facility, Experiment CERN PS
Abstract Controlling nonlinear effects in the transverse dynamics of charged particle beams in circular accelerators opens new possibilities for controlling some of the beam properties. Beam splitting by crossing a stable 1D nonlinear resonance is part of the routine operation of the CERN Proton Synchrotron. The beam undergoes trapping and transport inside stable islands created in the horizontal plane to allow multi-turn extraction toward the Super Proton Synchrotron, where the beam is used for fixed-target experiments. This process acts only on the horizontal beam emittance, inducing a reduction of its initial value. In this paper, we present a generalization of this approach, in which both transverse planes are affected by the proposed technique. We will discuss in detail how to manipulate the transverse emittances by means of a controlled crossing of a 2D nonlinear resonance. The novel technique will be presented by discussing the theoretical analysis of a Hamiltonian model, as well as simulating the performance of the proposed manipulation using a more realistic nonlinear symplectic map.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2022-2024 The Author(s) (License: CC-BY-4.0)



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