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

Abstract

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 .

Authors:
ORCiD logo [1]
  1. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1499272
Grant/Contract Number:  
FG02-97ER41014
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 777; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Miller, Gerald A. Non-universal and universal aspects of the large scattering length limit. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2017.12.063.
Miller, Gerald A. Non-universal and universal aspects of the large scattering length limit. United States. doi:10.1016/j.physletb.2017.12.063.
Miller, Gerald A. Wed . "Non-universal and universal aspects of the large scattering length limit". United States. doi:10.1016/j.physletb.2017.12.063. https://www.osti.gov/servlets/purl/1499272.
@article{osti_1499272,
title = {Non-universal and universal aspects of the large scattering length limit},
author = {Miller, Gerald A.},
abstractNote = {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 .},
doi = {10.1016/j.physletb.2017.12.063},
journal = {Physics Letters. Section B},
number = C,
volume = 777,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
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