MONTE CARLO SIMULATIONS OF MUON PRODUCTION

Muon production requirements for a muon collider are presented. Production of muons from pion decay is studied. Lithium lenses and solenoids are considered for focussing pions from a target, and for matching the pions into a decay channel. Pion decay channels of alternating quadrupoles and long solenoids are compared. Monte Carlo simulations are presented for production of $\pi \rightarrow \mu $ by protons over a wide energy range, and criteria for choosing the best proton energy are discussed.