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We use the standard fermionic and boson-fermion Hamiltonians to study theBCS-BEC cross-over near the 202 G resonance in a two-component mixture offermionic 40K atoms employed in the experiment of C.A. Regal et al., Phys. Rev.Lett. 92, 040403 (2004). Our mean-field analysis of many-body equilibriumquantities shows virtually no differences between the predictions of the twoapproaches, provided they are both implemented in a manner that properlyincludes the effect of the highest excited bound state of the backgroundscattering potential, rather than just the magnetic-field dependence of thescattering length. Consequently, we rule out the macroscopic occupation of themolecular field as a mechanism behind the fermionic pair condensation and showthat the BCS-BEC cross-over in ultra-cold 40K gases can be analysed andunderstood on the same basis as in the conventional systems of solid statephysics.Comment: 16 pages, 10 eps figures; final versio

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

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Conventional character of the BCS-BEC crossover in ultracold gases ofK40