Short range correlations and the isospin dependence of nuclear correlation functions

R. Cruz-Torres; A. Schmidt; G. A. Miller; L. B. Weinstein; N. Barnea; R. Weiss; E. Piasetzky; O. Hen

doi:10.1016/j.physletb.2018.07.069

Short range correlations and the isospin dependence of nuclear correlation functions

R. Cruz-Torres, A. Schmidt, G. A. Miller^*, L. B. Weinstein, N. Barnea, R. Weiss, E. Piasetzky, O. Hen

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	American English
Pages (from-to)	304-308
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	785
DOIs	https://doi.org/10.1016/j.physletb.2018.07.069
State	Published - 10 Oct 2018

Bibliographical note

Funding Information:
We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014, DE-FG02-94ER40818 and DE-FG02-96ER-40960, the Pazy Foundation, and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16. GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work.

Funding Information:
We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014 , DE-FG02-94ER40818 and DE-FG02-96ER-40960 , the Pazy Foundation , and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16 . GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work.

Publisher Copyright:
© 2018 The Authors

Keywords

Contact formalism
Correlation function
Short range correlations

Access to Document

10.1016/j.physletb.2018.07.069

Cite this

@article{2e70c6429f9d4eadbeeed4547f0ab7d2,

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.",

keywords = "Contact formalism, Correlation function, Short range correlations",

author = "R. Cruz-Torres and A. Schmidt and Miller, {G. A.} and Weinstein, {L. B.} and N. Barnea and R. Weiss and E. Piasetzky and O. Hen",

note = "Funding Information: We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014, DE-FG02-94ER40818 and DE-FG02-96ER-40960, the Pazy Foundation, and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16. GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work. Funding Information: We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014 , DE-FG02-94ER40818 and DE-FG02-96ER-40960 , the Pazy Foundation , and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16 . GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work. Publisher Copyright: {\textcopyright} 2018 The Authors",

year = "2018",

month = oct,

day = "10",

doi = "10.1016/j.physletb.2018.07.069",

language = "American English",

volume = "785",

pages = "304--308",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

}

TY - JOUR

T1 - Short range correlations and the isospin dependence of nuclear correlation functions

AU - Cruz-Torres, R.

AU - Schmidt, A.

AU - Miller, G. A.

AU - Weinstein, L. B.

AU - Barnea, N.

AU - Weiss, R.

AU - Piasetzky, E.

AU - Hen, O.

N1 - Funding Information: We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014, DE-FG02-94ER40818 and DE-FG02-96ER-40960, the Pazy Foundation, and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16. GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work. Funding Information: We wish to thank Mark Strikman, Misak Sargsian, Claudio Ciofi degli Atti, Max Alvioli, and Jan Ryckebusch for helpful discussions. This work was supported by the U.S. Department of Energy Office of Science, Office of Nuclear Physics under Award Numbers DE-FG02-97ER-41014 , DE-FG02-94ER40818 and DE-FG02-96ER-40960 , the Pazy Foundation , and by the Israel Science Foundation (Israel) under Grants Nos. 136/12 and 1334/16 . GAM thanks MIT LNS for and the Argonne National Laboratory for their hospitality during completion of this work. Publisher Copyright: © 2018 The Authors

PY - 2018/10/10

Y1 - 2018/10/10

N2 - 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.

AB - 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.

KW - Contact formalism

KW - Correlation function

KW - Short range correlations

UR - http://www.scopus.com/inward/record.url?scp=85052942963&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.07.069

DO - 10.1016/j.physletb.2018.07.069

M3 - Article

AN - SCOPUS:85052942963

SN - 0370-2693

VL - 785

SP - 304

EP - 308

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

Short range correlations and the isospin dependence of nuclear correlation functions

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this