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We call the potential weak coupling if it is small and integrable; for more discussions, see Ref. [16].
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In this paper we use the definition ζ=Plankv;/√ μm for the coherence or healing length as in Refs. [35,44] whereas [3] uses ζ = ℏ/√2 μm.
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2)) describes the bound state of two fermions in a superfluid Fermi system. See Ref. [50] and A.Yu. Cherny and A.A. Shanenko, Phys. Rev. B 60, 1276 (1999).
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85015716599
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note
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Due to criterion (58) the expression for the chemical potential (57) is not valid formally at very low densities. However, we arrive at the same result if we calculate first the interaction energy directly from Eqs. (11), (54), and (56), and then integrate over λ using the relation (63).
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The noncondensate fraction was referred to as "supracondensate" in Refs. [15-17].
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