H Schamel and A Luque 2004 New J. Phys. 6 113 doi:10.1088/1367-2630/6/1/113
On the (de)focusing nature of wall impedances for hadron beams in circular accelerators and storage rings
H Schamel and A Luque
Show affiliationsThe hole theory (Schamel H 1997 Phys. Rev. Lett. 79 2811) of longitudinal solitary structures superimposed on coasting beams, as has been seen recently in experiments, is evaluated in the zero-resistance limit to get new insight into the (de)focusing properties of wall impedances. It is found that the standard picture on (de)focusing, according to which a space-charge-dominated impedance is defocusing if the beam is below transition energy, as an example, does not always hold. Namely, this property (and picture), which can already be obtained by a simple waterbag model, remains true only when 
, where 
is the wall inductance per unit length and 
is given by 
. For 
, however, just the opposite (de)focusing property holds. Responsible for this new feature for coasting beams are wake-fields which are taken into account in a next-order self-consistent perturbation theory. It is argued, furthermore, why for bunched beams a similar result might also be expected.
- PACS
- Subjects
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Accelerators, beams and electromagnetism
- Dates
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Issue 1 (August 2004)
Received 14 June 2004
Published 26 August 2004
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On the (de)focusing nature of wall impedances for hadron beams in circular accelerators and storage rings
H Schamel and A Luque 2004 New J. Phys. 6 113
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