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Title: Threshold of transverse mode coupling instability with arbitrary space charge

Journal Article · · Physical Review Accelerators and Beams

The threshold of the transverse mode coupling instability is calculated in framework of the square well model at arbitrary value of space charge tune shift. A new method of calculation is developed beyond the traditional expansion technique. The square, resistive, and exponential wakes are investigated. It is shown that the instability threshold goes up indefinitely when the tune shift increases. Finally, a comparison with conventional case of the parabolic potential well is performed.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-07CH11395; AC02-07CH11359
OSTI ID:
1410727
Alternate ID(s):
OSTI ID: 1418801
Report Number(s):
FERMILAB-PUB-17-456-APC; arXiv:1706.01982; PRABCJ; 114401
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 20 Journal Issue: 11; ISSN 2469-9888
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (6)

Fast head-tail instability with space charge journal August 1998
Single bunch transverse instability in a circular accelerator with chromaticity and space charge journal October 2015
Erratum: Head-tail modes for strong space charge [Phys. Rev. ST Accel. Beams 12 , 044202 (2009)] journal October 2009
Transverse instability of a bunched beam with space charge and wakefield journal September 2011
Head-tail modes for strong space charge journal April 2009
Transverse mode coupling instability threshold with space charge and different wakefields journal March 2017

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