Scaling of a final CERN plasma lens design by a one dimensional magnetohydrodynamic Z-pinch model

Computations with magnetohydrodynamic z-pinch models are compared with experimental results obtained from a CERN plasma lens prototype designed for antiproton focusing in the antiproton collector ACOL. The focusing azimuthal magnetic field is generated by a z-pinch discharge. Typical pinch parameters are pinch times of μs, pinch radii of 20 mm, a 250 mm long plasma channel and a maximum current of 300 kA. Improvement of a new model whose analysis includes the motion of shockwaves, was done by taking into account energy losses due to dissociation and ionization of neutrals and by introducing a variable ionization degree. Parameters extrapolated for a final plasma lens scaling which should fulfill the ACOL requirements, e.g. magnetic field strength of about 4 T and pinch duration of at least 0.5 μs, are represented in the model