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Learn about the β Function and its importance in understanding Tevatron lattice for higher Luminosity. Discover the non-destructive measurement methods and recent system upgrades aiding in precise lattice analysis.
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Diagnosis of the FNAL Tevatron Lattice Using an AC Dipole Ryoichi Miyamoto UT Austin Fermilab Users Meeting June 7, 2007
x What is β Function ? s F1 D1 F2 D2 F1 3rd turn 1st turn x [mm] 2nd turn β Function After 100 turns After 7 turns
Luminosity pbar p Abeam peak luminosity (1030 cm2/sec) number of anti-protons (1010) 300 400 factor of ~10 factor of ~2.5 200 200 100 0 0 July 02 July07 July 07 July 02
Ztot ~ 8 Ω Tevatron AC Dipole System Zmagnet ~ 1 Ω 20 kHz kick p beam B
Excitation Created by the AC Dipole • Recent upgrade of the Tevatron BPM system • allows to measure ~8000 revolutions of • turn-by-turn positions with 20 μm resolutions. adiabatic ramp vertical displacement [mm]
An Example of Diagnosis Δβ / βdesign
Summary • Understanding and measuring the Tevatron lattice is important for increasing the Luminosity. • An AC dipole excites driven oscillations of a beam in synchrotron and creates large sustained signals for lattice measurements. • We have verified operations of an AC dipole do not increase the beam size. Non-destructive nature of the AC dipole improves the efficiency of measurements.