Abstract
We consider a dilute two-component atomic fermion gas with unequal populations in aharmonic trap potential using the mean field theory and the local density approximation.We show that the system is phase separated into concentric shells with the superfluid in thecore surrounded by the normal fermion gas both on the weak-coupling BCS side and nearthe Feshbach resonance. On the strong-coupling BEC side, the composite bosonsand left-over fermions can be mixed. We calculate the cloud radii and compareaxial density profiles systemically for the BCS, near resonance and BEC regimes.
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