Nonuniversal and universal aspects of the large scattering length limit
Abstract
The momentum density, of interacting manybody Fermionic systems is studied (for ) using examples of several wellknown twobody interaction models. It is shown that can be approximated by a zerorange 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 zerorange 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 Fermigas to an integral involving the density. We also show that the short separation distance, s, behavior of the pair density varies as .
 Authors:

 Univ. of Washington, Seattle, WA (United States)
 Publication Date:
 Research Org.:
 Univ. of Washington, Seattle, WA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1575841
 Alternate Identifier(s):
 OSTI ID: 1499272
 Grant/Contract Number:
 FG0297ER41014; FG0297ER41014
 Resource Type:
 Journal Article: Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 777; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Miller, Gerald A. Nonuniversal 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. Nonuniversal and universal aspects of the large scattering length limit. United States. doi:10.1016/j.physletb.2017.12.063.
Miller, Gerald A. Wed .
"Nonuniversal and universal aspects of the large scattering length limit". United States. doi:10.1016/j.physletb.2017.12.063.
@article{osti_1575841,
title = {Nonuniversal and universal aspects of the large scattering length limit},
author = {Miller, Gerald A.},
abstractNote = {The momentum density, of interacting manybody Fermionic systems is studied (for ) using examples of several wellknown twobody interaction models. It is shown that can be approximated by a zerorange 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 zerorange 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 Fermigas 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},
issn = {03702693},
number = C,
volume = 777,
place = {United States},
year = {2018},
month = {1}
}
Web of Science
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