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Quantized vortex core structure is theoretically investigated in Fermionsuperfluids with population imbalance for two atom species of neutral atomclouds near a Feshbach resonance. In contrast with vortex core in balance casewhere the quantum depletion makes a vortex visible through the density profilemeasurement, the vortex core is filled in and becomes less visible because thequantized discrete bound states are occupied exclusively by the majorityspecies. Yet it is shown that the core can be visible through the minoritydensity profile experiment using phase contrast imaging, revealing aninteresting opportunity to examine low-lying Fermionic core bound statesunexplored so far.Comment: 5 pages, 5 figures, replaced by the version to appear in PR

Vortex-Core Structure in Neutral Fermion Superfluids with Population Imbalance