Abstract
A high luminosity muon collider requires single, intense, muon bunches with small emittances: just one of each sign. An efficient front end and a cooling channel have been designed and simulated within the collaboration of the Muon Accelerator Program. The muons are first bunched and phase rotated into 21 bunches, and then cooled in six dimensions. When they are cool enough, they are merged into single bunches: one of each sign. The bunch merging scheme has been outlined with preliminary simulations in previous studies. In this paper we present a comprehensive design with its end-to-end simulation. The 21 bunches are first merged in longitudinal phase space into seven bunches. These are directed into seven ``trombone'' paths with different lengths, to bring them to the same time, and then merged transversely in a collecting ``funnel'' into the required single larger bunches. Detailed numerical simulations show that the 6D emittance of the resulting bunch reaches the parameters needed for high acceptance into the downstream cooling channel.
Highlights
A high luminosity muon collider requires single, intense, muon bunches with small emittances: just one of each sign
Since luminosity is proportional to the square of the number of muons per bunch, it is crucial for a muon collider to use relatively few bunches with many muons per bunch
In this paper we have described a bunch merging scheme that could achieve this goal
Summary
The advantages of a muon collider have been reviewed in many publications [1,2]. Muons, because they are 207 times heavier than electrons, synchrotron radiate much less, allowing them, like protons, to be accelerated and collided multiple times in rings. Like electrons, are leptons: they undergo simple, single-particle interactions that are much cleaner than those in p-p collisions that involve many partons colliding over a wide range of energies Muons, because they are made with very large emittances, must be ionization cooled in all dimensions prior to their acceleration and collision. The required cooling techniques, of which merging can form a part, could have other applications They could generate well understood fluxes of both muon and electron neutrinos resulting from muon decays in storage rings with long straight sections [3]. The bunches with different charges can be recombined and sent through a final cooling channel [6] using high-field solenoids that cool the transverse emittance to the required values for the collider while allowing the longitudinal emittance to grow. In the end a matching section with three solenoids matches the bunch into the postmerge cooling channel
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