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Title: Hamiltonian approach to slip-stacking dynamics

Abstract

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.

Authors:
 [1];  [2]
  1. Indiana Univ., Bloomington, IN (United States)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1372514
Report Number(s):
FERMILAB-FN-1033-APC
Journal ID: ISSN 2469-9888; PRABCJ; 1608537; TRN: US1702657
Grant/Contract Number:
AC02-07CH11359; AC02-76CH030000
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 20; Journal Issue: 6; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Lee, S. Y., and Ng, K. Y.. Hamiltonian approach to slip-stacking dynamics. United States: N. p., 2017. Web. doi:10.1103/PhysRevAccelBeams.20.064202.
Lee, S. Y., & Ng, K. Y.. Hamiltonian approach to slip-stacking dynamics. United States. doi:10.1103/PhysRevAccelBeams.20.064202.
Lee, S. Y., and Ng, K. Y.. 2017. "Hamiltonian approach to slip-stacking dynamics". United States. doi:10.1103/PhysRevAccelBeams.20.064202.
@article{osti_1372514,
title = {Hamiltonian approach to slip-stacking dynamics},
author = {Lee, S. Y. and Ng, K. Y.},
abstractNote = {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.},
doi = {10.1103/PhysRevAccelBeams.20.064202},
journal = {Physical Review Accelerators and Beams},
number = 6,
volume = 20,
place = {United States},
year = 2017,
month = 6
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevAccelBeams.20.064202

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  • 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.
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