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 .
- 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. doi: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}
}
https://doi.org/10.1016/j.physletb.2017.12.063
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Figures / Tables:
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).
Works referencing / citing this record:
Universal short-range correlations in bosonic helium clusters
journal, January 2020
- Bazak, B.; Valiente, M.; Barnea, N.
- Physical Review A, Vol. 101, Issue 1
Figures / Tables found in this record: