  A search for long-lived charged massive particles in CDF's Run1b data sample
is presented. The search looks for highly ionizing tracks which would result
from slowly moving massive particles. We search for strongly produced particles
using a stable color triplet quark as a reference model, and a separate search
was performed for weakly produced particles using long-lived sleptons in Gauge
Mediated Supersymmetry Breaking as a reference model. No excess over background
was observed, and we derive limits on the cross-sections for production of
these particles. Prospects for RunII are also discussed.
