Abstract
The beam dynamics for a quasi-isochronous lattice differs from that in the usual case of a lattice with a large positive momentum compaction factor. In particular, the quasi-isochronous lattice allows us to double the number of bunches which may be an attractive option for colliders. However, microwave instability and, as we show, longitudinal head-tail instability set the threshold for the beam current.
Highlights
INTRODUCTIONStudy of the coherent beam stability can clarify how useful isochronous lattices are, in particular, for proposed strong longitudinal focusing [1] and, potentially, for increasing the luminosity of a collider such as B-factory with the number of bunches in the ring [2].The quasi-isochronous lattice allows to have two bunches per rf bucket
We consider the coherent stability of bunches in the quasi-isochronous lattice
The beam dynamics of two bunches is quite different because the slope of the rf field for two bunches has opposite signs
Summary
Study of the coherent beam stability can clarify how useful isochronous lattices are, in particular, for proposed strong longitudinal focusing [1] and, potentially, for increasing the luminosity of a collider such as B-factory with the number of bunches in the ring [2].The quasi-isochronous lattice allows to have two bunches per rf bucket. Such bunches were observed experimentally [3]. Other effects are discussed in [2]
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