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@inproceedings{lindberg:ipac2021-thpab076,
author = {R.R. Lindberg},
title = {{Effects of Chromaticity and Synchrotron Emission on Coupled-Bunch Transverse Stability}},
booktitle = {Proc. IPAC'21},
pages = {3937--3940},
eid = {THPAB076},
language = {english},
keywords = {damping, simulation, synchrotron, wakefield, coupling},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-THPAB076},
url = {https://jacow.org/ipac2021/papers/thpab076.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-THPAB076},
abstract = {{We present a theory that can compute the transverse coupled-bunch instability growth rates at any chromaticity and for any longitudinal potential provided only that the long-range wakefield varies slowly over the bunch. The theory is expressed in terms of the usual coupled-bunch eigenvalues at zero chromaticity, and when the longitudinal motion is simple harmonic our solution only requires numerical root-finding that is easy to implement and fast to solve; the more general case requires some additional calculations but is still relatively fast. The theory predicts that the coupled-bunch growth rates can be significantly reduced when the chromatic betatron tune spread is larger than the coupled-bunch growth rate at zero chromaticity. Our theoretical results are compared favorably with tracking simulations for the long-range resistive wall instability, and we also indicate how damping and diffusion from synchrotron emission can further reduce or even stabilize the dynamics.}},
}