Higher Order Dispersion and Momentum Compaction in MAD-X/PTC using NormalForm
- European Organization for Nuclear Research (CERN), Geneva (Switzerland)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Dispersion and the momentum compaction factor have been treated since ages in the literature of accelerator physics to rst order. Since quite some time dispersion and the momentum compaction factor can be derived via PTC and thereby in MAD-X to arbitrary order (presently hard-wired to fourth order in MAD-X). It was realized that little is known about this high order derivation in the community. This paper attempts to clarify how the higher order momentum compaction factors are derived from rst principle allowing for an alternative way to calculate them.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1480098
- Report Number(s):
- FERMILAB-TM-2686-AD; 1700551
- Country of Publication:
- United States
- Language:
- English
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