Density Profiles of Strongly Interacting Trapped Fermi Gases

We study density profiles in trapped fermionic gases, near Feshbach resonances, at all $T \leq T_c$ and in the near-BEC and unitary regimes. The component profiles from noncondensed pairs, fermionic excitations and the condensate are also presented. As a consequence of noncondensed Cooper pairs, our profiles are in the unitary regime rather well fit to a Thomas-Fermi (TF) functional form, and equally well fit to experimental data. Our work lends support to the notion that TF fits can be used in an experimental context to obtain information about the temperature.