Non-universal and universal aspects of the large scattering length limit

Journal Article · 02 January 2018 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2017.12.063 · OSTI ID:1499272

Miller, Gerald A.  ^[1]

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1. Univ. of Washington, Seattle, WA (United States); OSTI

The momentum density, of interacting many-body Fermionic systems is studied (for ) using examples of several well-known two-body interaction models. It is shown that can be approximated by a zero-range model for momenta k less than about , where the effective range. If the scattering length is large and one includes the effects of a fixed value of , is almost universal for momenta k up to about . However, can not be approximated by a zero-range model for momenta k greater than about , where a is the scattering length, and if one wishes to maintain a sum rule that relates the energy of a two component Fermi-gas to an integral involving the density. We also show that the short separation distance, s, behavior of the pair density varies as .

• Research Organization: Univ. of Washington, Seattle, WA (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-97ER41014
• OSTI ID: 1499272
• Alternate ID(s): OSTI ID: 1575841; OSTI ID: 22851575
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Journal Issue: C Vol. 777; ISSN 0370-2693
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English