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Title: Short range correlations and the isospin dependence of nuclear correlation functions

Abstract

Pair densities and associated correlation functions provide a critical tool for introducing many-body correlations into a wide-range of effective theories. Ab initio calculations show that two-nucleon pair-densities exhibit strong spin and isospin dependence. However, such calculations are not available for all nuclei of current interest. We therefore provide a simple model, which involves combining the short and long separation distance behavior using a single blending function, to accurately describe the two-nucleon correlations inherent in existing ab initio calculations. We show that the salient features of the correlation function arise from the features of the two-body short-range nuclear interaction, and that the suppression of the pp and nn pair-densities caused by the Pauli principle is important. Our procedure for obtaining pair-density functions and correlation functions can be applied to heavy nuclei which lack ab initio calculations.

Authors:
; ORCiD logo; ORCiD logo; ; ; ; ; ORCiD logo
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Old Dominion Univ., Norfolk, VA (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1467767
Alternate Identifier(s):
OSTI ID: 1610265
Grant/Contract Number:  
FG02-97ER-41014; FG02-94ER40818; FG02-96ER-40960; FG02-96ER40960; FG02-97ER41014
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 785 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; Correlation function; Contact formalism; Short range correlations

Citation Formats

Cruz-Torres, R., Schmidt, A., Miller, G. A., Weinstein, L. B., Barnea, N., Weiss, R., Piasetzky, E., and Hen, O. Short range correlations and the isospin dependence of nuclear correlation functions. Netherlands: N. p., 2018. Web. doi:10.1016/j.physletb.2018.07.069.
Cruz-Torres, R., Schmidt, A., Miller, G. A., Weinstein, L. B., Barnea, N., Weiss, R., Piasetzky, E., & Hen, O. Short range correlations and the isospin dependence of nuclear correlation functions. Netherlands. doi:10.1016/j.physletb.2018.07.069.
Cruz-Torres, R., Schmidt, A., Miller, G. A., Weinstein, L. B., Barnea, N., Weiss, R., Piasetzky, E., and Hen, O. Mon . "Short range correlations and the isospin dependence of nuclear correlation functions". Netherlands. doi:10.1016/j.physletb.2018.07.069.
@article{osti_1467767,
title = {Short range correlations and the isospin dependence of nuclear correlation functions},
author = {Cruz-Torres, R. and Schmidt, A. and Miller, G. A. and Weinstein, L. B. and Barnea, N. and Weiss, R. and Piasetzky, E. and Hen, O.},
abstractNote = {Pair densities and associated correlation functions provide a critical tool for introducing many-body correlations into a wide-range of effective theories. Ab initio calculations show that two-nucleon pair-densities exhibit strong spin and isospin dependence. However, such calculations are not available for all nuclei of current interest. We therefore provide a simple model, which involves combining the short and long separation distance behavior using a single blending function, to accurately describe the two-nucleon correlations inherent in existing ab initio calculations. We show that the salient features of the correlation function arise from the features of the two-body short-range nuclear interaction, and that the suppression of the pp and nn pair-densities caused by the Pauli principle is important. Our procedure for obtaining pair-density functions and correlation functions can be applied to heavy nuclei which lack ab initio calculations.},
doi = {10.1016/j.physletb.2018.07.069},
journal = {Physics Letters B},
number = C,
volume = 785,
place = {Netherlands},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2018.07.069

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Cited by: 4 works
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Works referencing / citing this record:

Probing the core of the strong nuclear interaction
journal, February 2020


Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions
journal, November 2019


Counting statistics in finite Fermi systems: Illustrations with the atomic nucleus
journal, January 2020