Momentum distribution of a trapped Fermi gas with large scattering length

Details Momentum distribution of a trapped Fermi gas with large scattering length Momentum distribution of a trapped Fermi gas with large scattering length

2003-07-22

arxiv.org/abs/cond-mat/0307538v2

Physics

Condensed Matter

6 pages, 2 figures. Submitted to Phys. Rev. A. Added references

Scientific paper

10.1103/PhysRevA.69.013607

Using a scattering length parametrization of the BCS-BEC crossover as well as the local density approximation for the density profile, we calculate the momentum distribution of a harmonically trapped atomic Fermi gas at zero temperature. Various interaction regimes are considered, including the BCS phase, the unitarity limit and the molecular regime. We show that the relevant parameter which characterizes the crossover is given by the dimensionless combination $N^{1/6}a/a_{ho}$, where $N$ is the number of atoms, $a$ is the scattering length and $a_{ho}$ is the oscillator length. The width of the momentum distribution is shown to depend in a crucial way on the value and sign of this parameter. Our predictions can be relevant for experiments on ultracold atomic Fermi gases near a Feshbach resonance.

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