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We consider the possible mechanical instability of an ultracold Fermi gas dueto the attractive interactions between fermions of different species. Weinvestigate how the instability, predicted by a mean field calculation for anhomogeneous system, is modified when the gas is trapped in a harmonic potentialand quantum effects are included.Comment: Final revised version. To be published in EPJ

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Instability of a trapped ultracold Fermi gas with attractive interactions: quantum effects