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Title: Synchrobetatron resonance of crab crossing scheme with large crossing angle and finite bunch length

Journal Article · · Physical Review Accelerators and Beams
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Crab crossing scheme is an essential collision scheme to achieve high luminosity for the future colliders with large crossing angles. However, when bunch length of one or both colliding beams is comparable with the wavelength of the crab cavity voltage, the nonlinear dependence of the crabbing kick may present a challenge to the beam dynamics of the colliding beams and impact the beam quality and the luminosity lifetime. In this paper, the results of nonlinear dynamics in the crab crossing scheme are presented, using both analytical and numerical approaches. The result indicates that higher-order synchrobetatron resonances may be excited in the crab crossing scheme with large crossing angle, which causes the beam quality deterioration and luminosity degradation. The studies also reveal possible countermeasures to suppress the synchrobeta resonance, hence mitigate the degradation of beam quality and luminosity.

Research Organization:
Michigan State Univ., East Lansing, MI (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
Grant/Contract Number:
AC02-05CH11231; AC02-98CH10886; SC0018973; SC0012704
OSTI ID:
1777670
Alternate ID(s):
OSTI ID: 1778785; OSTI ID: 1785264; OSTI ID: 1785955
Report Number(s):
BNL-221568-2021-JAAM; PRABCJ; 041002
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 24 Journal Issue: 4; ISSN 2469-9888
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (8)

Single particle dynamics at synchro-betatron coupling resonances journal June 1994
A parallel particle-in-cell model for beam–beam interaction in high energy ring colliders journal July 2004
Application of frequency map analysis to beam-beam effects study in crab waist collision scheme journal January 2011
Handbook of Accelerator Physics and Engineering book May 2013
Long term dynamics of the high luminosity Large Hadron Collider with crab cavities journal October 2016
Beam dynamics aspects of crab cavities in the CERN Large Hadron Collider journal October 2009
Analysis of Beam-Beam Interactions with a Large Crossing Angle journal March 1995
The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones journal December 1990

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Related Subjects

43 PARTICLE ACCELERATORS
Beam dynamics
Beam resonances
Beam tracking
Higher order beam dynamics
Nonlinear beam dynamics