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

Miller, Gerald A.

doi:10.1016/j.physletb.2017.12.063

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

Journal Article · 03 January 2018 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2017.12.063 · OSTI ID:1575841

^[1]

Univ. of Washington, Seattle, WA (United States)

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 .

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-97ER41014; FG02-97ER-41014

OSTI ID:: 1575841

Alternate ID(s):: OSTI ID: 1499272

Journal Information:: Physics Letters B, Vol. 777, Issue C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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