QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

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.