BACKGAMMON: A Scheme for Producing High Intensity Muon Beams for Future Colliders and Other Applications

We present a scheme for producing intense ${\mu }^{+}$ and ${\mu }^{-}$ lepton beams that could be utilized in a future muon-muon or muon-ion collider, as well as for other applications. The scheme makes use of BACKscattered GAMMas On Nucleons (BACKGAMMON). Current accelerator infrastructures could be utilized to produce the muon beams, such as the Electron-Ion Collider (EIC) at Brookhaven National Laboratory in the United States. We discuss the implementation of BACKGAMMON at the EIC.