2002
DOI: 10.2172/799047
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An Accurate, Simplified Model Intrabeam Scattering

Abstract: Beginning with the general Bjorken-Mtingwa solution for intrabeam scattering (IBS) we derive an accurate, greatly simplified model of IBS, valid for high energy beams in normal storage ring lattices. In addition, we show that, under the same conditions, a modified version of Piwinski's IBS formulation (where η 2x,y /β x,y has been replaced by H x,y ) asymptotically approaches the result of Bjorken-Mtingwa.

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Cited by 6 publications
(3 citation statements)
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“…where aα is C times the partial momentum compaction factor from s 1 to s 2 , and for R x and R y , 48) where…”
Section: Unperturbed Casementioning
confidence: 99%
See 1 more Smart Citation
“…where aα is C times the partial momentum compaction factor from s 1 to s 2 , and for R x and R y , 48) where…”
Section: Unperturbed Casementioning
confidence: 99%
“…The other main approach to IBS is that of Piwinski [12] who is the original author There are also a variety of approximations to B-M and Piwinski. See for example, references [45,46,47,48,49,53,61] and references therein. For some early history of IBS, see [54].…”
Section: Overview Of Ibs Literaturementioning
confidence: 99%
“…Comparison of this rate with one experimentally achieved at the Accumulator allowed to specify the number in the mixing factor definition (3). To be safe from the transverse coherent instability associated with too strong interaction via SC system, the gain g should not be much higher than its optimal value (8).…”
Section: Transverse Stochastic Coolingmentioning
confidence: 99%