Abstract
Incoherent effects of space charge and sum resonances on particle beams in a storage ring
Highlights
Collective effects in a non-neutral plasma as a beam in a partiqcleffiffiffiffiffiaffifficffifficffi elerator are related to the Debye length λ ∝ v2th=n, where v2th is the rms square “thermal” component of the velocity of the particles and n the particle density [1,2]
We have proposed to use the parameter Iχ;l, based on a plasma physics argument, to define the incoherent space charge regime and to anticipate the goodness of space charge frozen models
We have presented the theory of the sum resonances with the frozen space charge
Summary
GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, 64291 Darmstadt, Germany and Goethe Universität Frankfurt, Max-von-Laue-Straße 7, 60438 Frankfurt am Main, Germany (Received 4 August 2018; published 25 November 2019). Several studies, numerical and experimental, have been carried out for enlightening the effect of space charge and resonances on particle beams stored in accelerators. The last effort of this quest focused on the third-order coupled resonances, emphasizing the existence of the periodic crossing of fixed lines induced by space charge. The theory of nonlinear sum resonances in coasting beams in the presence of space charge is presented and applied to unravel the key features of the four-dimensional coupled dynamics in high-intensity bunched beams
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