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

Summary Form only given, as follows. Computations with magnetohydrodynamic z-pinch models have been 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 microsecond pinch times, pinch radii of 20 mm, a 250-mm-long plasma channel, and a maximum current of 300 kA. A model whose analysis includes the motion of shockwaves has been improved 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 that should fulfil the ACOL requirements, e.g. magnetic field strength of about 4 T and pinch duration of at least 0.5 mu s, are represented in the model.<>