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The formation of bosonic bound states underlies the formation of a superfluidground state in the many-body phase diagram of ultracold Fermi gases. We studybound-state formation in a spin- and mass-imbalanced ultracold Fermi gasconfined in a box with hard-wall boundary conditions. Because of the presenceof finite Fermi spheres, the center-of-mass momentum of the potentially formedbound states can be finite, depending on the parameters controlling mass andspin imbalance as well as the coupling strength. We exploit this observation toestimate the potential location of inhomogeneous phases in the many-body phasediagram as a function of spin- and mass imbalance as well as the box size. Ourresults suggest that a hard-wall box does not alter substantially the many-bodyphase diagram calculated in the thermodynamic limit. Therefore, such a box mayserve as an ideal trap potential to bring experiment and theory closelytogether and facilitate the search for exotic inhomogeneous ground states.

In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box