Low Emittance Muon Beams from Positrons

Abstract

We are studying a novel scheme to produce muon beams characterised by very low emittance, thus allowing to avoid the need for cooling, using a positron beam of about 45 GeV interacting on electrons on a fixed target. This is a challenging scheme, and a full design study has to be developed. One of the key innovative topics to be investigated regards the interaction between the positron beam stored in a low emittance ring with a thin target inserted directly in the ring cham- ber. Produced muons will then be immediately collected at the exit of the target and transported to two μ+ and μ− accumulator rings. In this paper, after an introduction highlighting the rational in designing a muon collider, we discuss in detail this new muon production scheme, covering the simulation of the e+ beam interacting with the target, its degradation in the 6-D phase space and the optimisation of the e+ ring design mainly to maximise the energy acceptance.