  The core-core structure factor of dense star polymer solutions in a good
solvent is shown theoretically to exhibit an unusual behaviour above the
overlap concentration. Unlike usual liquids, these solutions display a
structure factor whose first peak decreases by increasing density while the
second peak grows. The scenario repeats itself with the subsequent peaks as the
density is further enhanced. For low enough arm numbers $f$ ($f \leq 32$),
various different considerations lead to the conclusion that the system remains
fluid at all concentrations.
