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Within the context of Hartree-Fock-Bogoliubov theory, we study the behaviorof superfluid Fermi systems when they pass from a small to a large container.Such systems can be now realized thanks to recent progress in experimentaltechniques. It will allow to better understand pairing properties at overflowand in general in rapidly varying external potentials.

Pairing correlations of cold fermionic gases at overflow from a narrow to a wide harmonic trap