Muon collider ring cooler Page: 2 of 6
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Muon Collider Ring Cooler
V.I. Balbekov and A. Van Ginneken
Fermi National Accelerator Laboratory, Batavia, IL 605101
Abstract. The possibilities of a ring cooler stage in a muon collider are explored. A
basic design-along with some variations-are examined both with analytic calcula-
tions and simulation of the evolution of beam phase space and differences encountered
between them are discussed.
This report examines the possibility of using a racetrack-like ring accelerator in
the cooling stage of a muon collider. The main merit of such a cooler compared
with a linear one is its lower projected costs. The expense ratio linear/ring scales
roughly as the number of turns needed to achieve effective cooling-a factor of some
tens in a typical scenario.
The cooling in the 'usual' ring machine is shown in Fig. la. The beam is com-
pressed in both X and X' directions because they are coupled by the /-function.
Strong cooling is impossible in this case because reduction of the angular spread
is limited by scattering in the absorber. A system with decreasing /3-function can
be used for cooling in a linear scheme as shown in Fig. lb . The same result
can be obtained in a ring cooler if its transfer matrix is AD where A is the cooling
coefficient and D is a diagonal matrix (a lattice without #3-function). In this case
motions in X and X' directions are independent and the beam evolution from turn
to turn looks like in Fig. lb.
X, G, < G < G
LINAC LINAC --
COOLED BEAM x' X' X'
FIGURE 1. Beam cooling by a ring cooler (a) and linear cooler with decreasing p-function (b).
1) Work supported by the Universities Research Association, Inc., under contract DE-AC02-
76CH0300 with the U. S. Department of Energy.
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Balbekov, V.I. & Van Ginneken, A. Muon collider ring cooler, article, March 1, 1998; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc703903/m1/2/: accessed April 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.