Combined effects of crab dispersion and momentum dispersion in colliders with local crab crossing scheme

@article{Xu2022CombinedEO,
  title={Combined effects of crab dispersion and momentum dispersion in colliders with local crab crossing scheme},
  author={Derong Xu and Yun Luo and Yue Hao},
  journal={Physical Review Accelerators and Beams},
  year={2022}
}
In this paper, we present the effects of linear transverse-longitudinal coupling on beam size at Interaction Point (IP) of a collider with local crab crossing scheme, when time dependent transverse deflection (crab kicks) and dispersive orbit intertwine near IP. The analytic propagation formula and the closed orbit form of the crab dispersion and momentum dispersion are derived. The non-zero momentum dispersion at crab cavities and the non-ideal phase from crab cavities to IP are detailed with… 
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