  We investigate color superfluidity and trimer formation in resonantly
interacting SU(3) Fermi gases with a finite interaction range. The finite range
is crucial to avoid the Thomas collapse and treat the Efimov effect occurring
in this system. Using the Skorniakov-Ter-Martirosian (STM) equation with medium
effects, we show the effects of the atomic Fermi distribution on the Efimov
trimer energy at finite temperature. We show the critical temperature of color
superfluidity within the non-selfconsistent $T$-matrix approximation (TMA). In
this way, we can provide a first insight into the phase diagram as a function
of the temperature $T$ and the chemical potential $\mu$. This phase diagram
consists of trimer, normal, and color-superfluid phases, and is similar to that
of quantum chromodynamics (QCD) at finite density and temperature, indicating a
possibility to simulate the properties of such extremely dense matter in the
laboratory.
