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We study a two-component Fermi gas that is so strongly polarized that itremains normal fluid at zero temperature. We calculate the occupation numberswithin the particle-particle random-phase approximation, which is similar tothe Nozieres-Schmitt-Rink approach. We show that the Luttinger theorem isfulfilled in this approach. We also study the change of the chemical potentialswhich allows us to extract, in the limit of extreme polarization, the polaronenergy.

Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem