A novel method is proposed for achieving a fast and efficient radial c
ompression of antiproton clouds trapped and cooled in high magnetic fi
eld. The basic operation takes place in a low field solenoid during th
e transfer of the cooled antiprotons from one trap to the next. it mak
es use of a special device that imparts to the particles a transverse
momentum which compensates exactly their initial generalized momentum.
They can therefore be focused onto the solenoid axis and injected in
the next high field region with a relatively small radial envelope. Af
ter standard trapping and cooling procedures a strongly radial extensi
on is obtained. The operation can be repeated to lead to very small si
ze of the final antiproton cloud. It can be estimated that an initial
1 cm radial extension can be reduced to 1 mm in a first stage and to l
ess than 0.1 mm in a second stage. In this way highest densities (appr
oaching the space charge limit) of trapped antiprotons can be obtained
in a relatively short time.