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