Analyses and simulations of longitudinal motion in μ-recirculating linacs

We present an analysis of an acceleration scenario for a high-energy μ+ μ− collider. Acceleration from GeV to TeV energies is required, accompanied by bunch compression to collider-scale bunch lengths. The baseline scenario is a cascade of recirculating linacs (RLAs), with each linac increasing the beam energy by an order of magnitude. Bunch compression can occur both in the linacs themselves and in the transports connecting linacs. Constraints on acceleration design are discussed, and possible scenarios are developed. A simulation tool for RLA acceleration is presented and simulations of acceleration are described. Wakefield effects are included. Implications for μ+ μ− collider scenario development are discussed, and directions for further studies are indicated.