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Density functional theory for fermions close to the unitary regime

Anirban Bhattacharyya·T. Papenbrock
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Abstract

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density functional and determines the corrections from the analyical results for the harmonically trapped two-body system. The corrections due to the finite scattering length compare well with the result of Monte Carlo simulations. We also apply our results to symmetric neutron matter.

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Anirban Bhattacharyya, T. Papenbrock. 2006-02-16. Density functional theory for fermions close to the unitary regime. https://doi.org/10.1103/physreva.74.041602

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