An insertion to eliminate horizontal temperature of high energy electron beam Page: 3 of 9
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An Insertion to Eliminate Horizontal
Temperature of High Energy Electron Beam
A. V. Burov * and V. V. Danilov *
Fermi National Accelerator Laboratory
P.O. Box 500, Batavia, Illinois 60510
March 16, 1998
High energy electron cooling with a circulated electron bunch could
significantly increase the luminosity of hadron colliders. One of the sig-
nificant obstacles is high horizontal temperature of electron bunches, sup-
pressing dramatically calculated cooling rates. Recently, a transformation
of betatron coordinates and angles for elimination of the radial temper-
ature was found. In our paper, we present a simple scheme to make up
this transformation by thin quadruples, drifts and a solenoid.
A possibility to use circulating electron bunches for electron cooling in hadron
colliders is an attractive idea, meeting several obstacles for realization (see e. g.
 with a vast list of references). One of the difficulties is that high radial tem-
perature of the electron bunch in a storage ring would strongly suppress cooling
rates. In electron storage rings, bunches are practically flat: their horizontal
emittance is orders of magnitude higher than vertical one. A way to eliminate
the horizontal temperature for such bunches was recently suggested in . A
matrix, which transforms the flat distribution into a distribution without trans-
verse angles, was found there. It should be noted, that such a transformation
does not contradict to the Liouville's theorem: the 4D transverse phase volume
(xx'yy') for the flat bunch is zero, as well as for the bunch with zero angles.
With this transformation, the calculated cooling rates are strongly shifted to a
practically interesting range of values.
In the following chapter, this transformation is discussed. Then, its practical
realization on the base of thin quadruples, drifts and a solenoid is considered.
*On leave from Budker INP, 630090, Novosibirsk, Russia.
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Burov, A.V. & Danilov, V.V. An insertion to eliminate horizontal temperature of high energy electron beam, report, March 16, 1998; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc692076/m1/3/: accessed March 26, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.