One of the alternative scenarios for a heavy ion driver for inertial c
onfinement fusion is final transport as a self-magnetic pinch. A beam
is stripped by passing it through a thin foil (or gas) which also supp
lies neutralizing electrons. The beam is then centered in a long condu
cting pipe which may be surrounded by a solenoid to help the confineme
nt of neutralizing electrons. Additional electrons are supplied by ion
ization of a low pressure gas in the pipe. Immediately before the stri
pping foil a mini final focusing system would be applied, which makes
the envelope waist of a few millimetre radius at the foil. In this sch
eme, the usual chromatic aberration constraint on the heavy ion fusion
driver can be relaxed by at least an order of magnitude, which gives
substantial relief on the longitudinal beam dynamics issues. A simulat
ion study has been performed using an (r,z) particle-in-cell code for
all six electromagnetic field components and the three components of p
article velocity.