Phys. Rev. A 75, 043605 (2007) [15 pages]Next-to-next-to-leading-order ϵ expansion for a Fermi gas at infinite scattering lengthReceived 23 August 2006; revised 29 January 2007; published 5 April 2007 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=μ∕ϵF of chemical potential to ideal gas Fermi energy to next-to-next-to-leading-order (NNLO) in ϵ=4−d, where d is the number of spatial dimensions. We also explore the nature of corrections from the order after NNLO. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.043605
DOI:
10.1103/PhysRevA.75.043605
PACS:
03.75.Hh, 05.30.Fk, 21.65.+f
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