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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
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1575841
Alternate Identifier(s):
OSTI ID: 1499272
Grant/Contract Number:  
FG02-97ER-41014; FG02-97ER41014
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 777 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
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. Netherlands: N. p., 2018. Web. https://doi.org/10.1016/j.physletb.2017.12.063.
Miller, Gerald A. Non-universal and universal aspects of the large scattering length limit. Netherlands. https://doi.org/10.1016/j.physletb.2017.12.063
Miller, Gerald A. Thu . "Non-universal and universal aspects of the large scattering length limit". Netherlands. https://doi.org/10.1016/j.physletb.2017.12.063.
@article{osti_1575841,
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 B},
number = C,
volume = 777,
place = {Netherlands},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2017.12.063

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1. Fig. 1. : (Color online.) Comparison of r$\phi$S(r) (red) solid, r$\phi$H (r) (blue) dashed, and r$\phi$0(r) (black) dot-dashed, r$\phi$S D (r) (black) solid, and r$\phi$E (r) (black) dashed for $a/R$ = 10, 000. Dimensionless units are used (see text).

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Works referencing / citing this record:

Universal short-range correlations in bosonic helium clusters
journal, January 2020


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.