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Title: Hamiltonian approach to slip-stacking dynamics

Journal Article · · Physical Review Accelerators and Beams

Hamiltonian dynamics has been applied to study the slip-stacking dynamics. The canonical-perturbation method is employed to obtain the second-harmonic correction term in the slip-stacking Hamiltonian. The Hamiltonian approach provides a clear optimal method for choosing the slip-stacking parameter and improving stacking efficiency. The dynamics are applied specifically to the Fermilab Booster-Recycler complex. As a result, the dynamics can also be applied to other accelerator complexes.

Research Organization:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-76CH030000; AC02-07CH11359
OSTI ID:
1372514
Alternate ID(s):
OSTI ID: 1369230
Report Number(s):
FERMILAB-FN-1033-APC; PRABCJ; 064202
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 20 Journal Issue: 6; ISSN 2469-9888
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (2)

Driven response of the synchrotron motion of a beam journal February 1993
Emittance measurement and modeling for the Fermilab Booster journal January 2006

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