BCS-BEC crossover in relativistic Fermi systems

Understand

We review the BCS-BEC crossover in relativistic Fermi systems, including the QCD matter at finite density.

• In the first part we study the BCS-BEC crossover in a relativistic four-fermion interaction model and show how the relativistic effect affects the BCS-BEC crossover.
• In the second part, we investigate both two-color QCD at finite baryon density and pion superfluid at finite isospin density, by using an effective Nambu--Jona-Lasinio model.
• We will show how the model describes the weakly interacting diquark and pion condensates at low density and the BEC-BCS crossover at high density.