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Estimate of the longitudinal and transverse impedances of the main ring in the TeV I project

Technical Report ·
DOI:https://doi.org/10.2172/6067202· OSTI ID:6067202

To guarantee the successful performance of the Main Ring in Tevatron I, its stability limits and impedances have to be estimated and controlled. The impedances of the Main Ring are estimated, considering contributions from the bellows, beam position monitors, wall resistivity, kickers and Lambertsons. The estimations of the contributions to the longitudinal and transverse impedances are tabulated and plotted. The stability limits for the worst situation are also tabulated for comparison. The slow-growing single bunch instability caused by longitudinal mode coupling is found to be safe. The corresponding instability caused by transverse mode coupling is not. The fast-growing longitudinal microwave instability is found to be driven by the sharp resonances of the bellows and beam monitors and may be the broad resonances of the Lambertsons also. The fast-growing transverse microwave instability is found to be safe. It is found that, to have stability, the bellows have to be shielded and the beam monitors terminated at the ends instead of the center. The slow-growing transverse mode coupling is found to be curable by feedback. 6 tabs., 7 figs. (LEW)

Research Organization:
Fermi National Accelerator Lab., Batavia, IL (USA)
DOE Contract Number:
AC02-76CH03000
OSTI ID:
6067202
Report Number(s):
FNAL-TM-1388; ON: DE86008122
Country of Publication:
United States
Language:
English