The real-space densities of a polarized strongly interacting two-component Fermi gas of 6Li atoms\ud reveal two low-temperature regimes, both with a fully paired core. At the lowest temperatures, the\ud unpolarized core deforms with increasing polarization. Sharp boundaries between the core and the excess\ud unpaired atoms are consistent with a phase separation driven by a first-order phase transition. In contrast,\ud at higher temperatures the core does not deform but remains unpolarized up to a critical polarization. The\ud boundaries are not sharp in this case, indicating a partially polarized shell between the core and the\ud unpaired atoms. The temperature dependence is consistent with a tricritical point in the phase diagram
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