Next-to-next-to-leading-order ϵ expansion for a Fermi gas at infinite scattering length

Peter Arnold, Joaquín E. Drut, and Dam Thanh Son
Phys. Rev. A 75, 043605 – Published 5 April 2007

Abstract

We extend previous work on applying the ϵ expansion to universal properties of a cold, dilute Fermi gas in the unitary regime of infinite scattering length. We compute the ratio ξ=μϵF of chemical potential to ideal gas Fermi energy to next-to-next-to-leading-order (NNLO) in ϵ=4d, where d is the number of spatial dimensions. We also explore the nature of corrections from the order after NNLO.

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  • Received 23 August 2006

DOI:https://doi.org/10.1103/PhysRevA.75.043605

©2007 American Physical Society

Authors & Affiliations

Peter Arnold

  • Department of Physics, University of Virginia, Box 400714, Charlottesville, Virginia 22904-4714, USA

Joaquín E. Drut and Dam Thanh Son

  • Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA

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Vol. 75, Iss. 4 — April 2007

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