A six-dimensional (6D) ionization cooling channel based on a helical solenoid magnet surrounding RF cavities filled with dense hydrogen gas is the basis for our latest plans for muon colliders. This
recently-invented superconducting helical solenoid magnet has solenoidal, helical dipole, and helical quadrupole components that are generated by a simple configuration of circular coils. Longitudinal
cooling is achieved by emittance exchange, where momentum-dependent path length differences in the dense hydrogen energy absorber provide the required correlation between momentum and ionization loss. Recent studies of an 800 MHz RF cavity pressurized with hydrogen, as would be used in this application, show that the maximum gradient is not limited by a large external magnetic field, unlike vacuum cavities.
Parametric-resonance Ionization Cooling and Reverse Emittance Exchange will be employed to further reduce transverse emittances to a few mm-mr to allow high luminosity with fewer muons than previously imagined.
Present concepts for a 1.5 to 5 TeV center of mass collider with average luminosity greater than 10**34 cm-2 s-1 include ILC RF structures to accelerate positive and negative muons in a 10-pass recirculation Linac.The status of the designs, simulations using the G4BeamLine program we have developed from the Geant4 toolkit, and tests of the cooling components for a high-luminosity, low-emittance muon collider will be reviewed. We are looking for collaborators to join MANX, a 6D cooling demonstration experiment based on a helical solenoid with z dependent fields.