Short range correlations and the isospin dependence of nuclear correlation functions

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 avail...

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Main Authors: Cruz Torres, Reynier, Schmidt, Axel, Miller, G.A., Weinstein, L.B., Barnea, N, Weiss, R, Piasetzky, E, Hen, Or
Other Authors: Massachusetts Institute of Technology. Laboratory for Nuclear Science
Format: Article
Language:English
Published: Elsevier BV 2020
Online Access:https://hdl.handle.net/1721.1/128383
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author Cruz Torres, Reynier
Schmidt, Axel
Miller, G.A.
Weinstein, L.B.
Barnea, N
Weiss, R
Piasetzky, E
Hen, Or
author2 Massachusetts Institute of Technology. Laboratory for Nuclear Science
author_facet Massachusetts Institute of Technology. Laboratory for Nuclear Science
Cruz Torres, Reynier
Schmidt, Axel
Miller, G.A.
Weinstein, L.B.
Barnea, N
Weiss, R
Piasetzky, E
Hen, Or
author_sort Cruz Torres, Reynier
collection MIT
description 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. ©2018 The Authors
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spelling mit-1721.1/1283832022-10-01T11:47:50Z Short range correlations and the isospin dependence of nuclear correlation functions Cruz Torres, Reynier Schmidt, Axel Miller, G.A. Weinstein, L.B. Barnea, N Weiss, R Piasetzky, E Hen, Or Massachusetts Institute of Technology. Laboratory for Nuclear Science 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. ©2018 The Authors DOE Office of Nuclear Physics (DE-FG02-97ER-41014) DOE Office of Nuclear Physics (DE-FG02-94ER40818) DOE Office of Nuclear Physics (DE-FG02-96ER-40960) Israel Science Foundation (136/12) 2020-11-06T16:16:20Z 2020-11-06T16:16:20Z 2018-08 2018-07 2020-10-27T16:38:42Z Article http://purl.org/eprint/type/JournalArticle 1873-2445 https://hdl.handle.net/1721.1/128383 Cruz-Torres, R. et al., "Short range correlations and the isospin dependence of nuclear correlation functions." Physics Letters B 785 (October 2018): 304-308 doi. 10.1016/j.physletb.2018.07.069 ©2018 Authors en https://dx.doi.org/10.1016/J.PHYSLETB.2018.07.069 Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics Creative Commons Attribution-NonCommercial-NoDerivs License https://creativecommons.org/licenses/by/4.0/ application/pdf Elsevier BV Elsevier
spellingShingle Cruz Torres, Reynier
Schmidt, Axel
Miller, G.A.
Weinstein, L.B.
Barnea, N
Weiss, R
Piasetzky, E
Hen, Or
Short range correlations and the isospin dependence of nuclear correlation functions
title Short range correlations and the isospin dependence of nuclear correlation functions
title_full Short range correlations and the isospin dependence of nuclear correlation functions
title_fullStr Short range correlations and the isospin dependence of nuclear correlation functions
title_full_unstemmed Short range correlations and the isospin dependence of nuclear correlation functions
title_short Short range correlations and the isospin dependence of nuclear correlation functions
title_sort short range correlations and the isospin dependence of nuclear correlation functions
url https://hdl.handle.net/1721.1/128383
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