Density-functional theory for fermions close to the unitary regime

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Density-functional theory for fermions close to the unitary regime

Anirban Bhattacharyya and T. Papenbrock

Phys. Rev. A 74, 041602(R) – Published 16 October 2006

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.

Received 27 February 2006

DOI:https://doi.org/10.1103/PhysRevA.74.041602

Authors & Affiliations

Anirban Bhattacharyya^* and T. Papenbrock^†

Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA and Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

^*Electronic address: anirban@ornl.gov
^†Electronic address: papenbro@phy.ornl.gov

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Issue

Vol. 74, Iss. 4 — October 2006

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