1989
DOI: 10.1063/1.38074
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Beam observation and the nature of instabilities

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Cited by 9 publications
(7 citation statements)
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“…4एRmaeऍ z ! 2Î (2) where Z ? is the transverse impedance, e is the proton charge,Î = N B e=घ p 2एç t ङ is the peak current, ç t is the rms bunch length, R is the mean radius of accelerator, m the mass of proton, ae = 1 =घ1 , ae 2 ङ 1=2 , j 2 = ,1, ऍ z is the vertical betatron tune, and !…”
Section: Discussionmentioning
confidence: 99%
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“…4एRmaeऍ z ! 2Î (2) where Z ? is the transverse impedance, e is the proton charge,Î = N B e=घ p 2एç t ङ is the peak current, ç t is the rms bunch length, R is the mean radius of accelerator, m the mass of proton, ae = 1 =घ1 , ae 2 ङ 1=2 , j 2 = ,1, ऍ z is the vertical betatron tune, and !…”
Section: Discussionmentioning
confidence: 99%
“…The coherent tune shift is a result of the increase in intensity and it is given by [1,2] ࣽऍ z = j eZ ? 4एRmaeऍ z !…”
Section: Discussionmentioning
confidence: 99%
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“…The fast head-tail (HT) is observed in LEP, SPS [51] and other electron machines with short bunches, but not so far in hadron machines with long bunches; because the beam power spectra and its interaction [65] with the impedance differ between these cases. Other stabilizing mechanisms have been suggested.…”
Section: Fast Head-tail Instabilitymentioning
confidence: 99%
“…Even intrabunch momentum oscillations can be observed if the difference signal from a position monitor in a high dispersion region is viewed on this type of display. 30 If the signal from a fast beam current monitor is used to trigger a sample of the machine rf waveform, bunch phase oscillations can be measured without the need for a mountain range display or wideband scope. This circuit is essentially a type of phase detector.…”
Section: Bunch Shape and Time Distribution Measurementsmentioning
confidence: 99%