Speaker
Giuliano Franchetti
(European Organization for Nuclear Research)
Description
One-dimensional resonances creating fixed points and islands in the
two-dimensional phase space have long been
recognized as crucial for the diffusion of particles in high-intensity bunches.
Coupled resonances are also highly relevant, but their dynamics is more difficult
to grasp as it happens in a four-dimensional phase space.
Following a conceptual and theoretical investigation, a detailed experimental campaign
has been carried out in the CERN SPS to investigate the existence of the
four-dimensional fixed lines. The experimental investigation has been exceptional as
it required an extreme control of all accelerator parameters.
We report here the difficulties encountered and the main findings, their impact,
and possible application.
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Authors
Frank Schmidt
(European Organization for Nuclear Research)
Giuliano Franchetti
(European Organization for Nuclear Research)
Hannes Bartosik
(GSI Helmholtz Centre for Heavy Ion Research)