Pairing of a trapped resonantly interacting fermion mixture with unequal spin populations

We consider the phase separation of a trapped atomic mixture of fermions with unequal spin populations near a Feshbach resonance. In particular, we determine the density profile of the two spin states and compare with the recent experiments of Partridge et al. [Science 311, 503 (2006)]. Overall we find quite good agreement. We identify the remaining discrepancies, which provide important clues for the complete understanding of the experiment.