# 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:

- 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}

}

DOI: 10.1016/j.physletb.2018.07.069

*Citation information provided by*

Web of Science

Web of Science

Works referencing / citing this record:

##
Probing the core of the strong nuclear interaction

journal, February 2020

- Schmidt, A.; Pybus, J. R.; Weiss, R.
- Nature, Vol. 578, Issue 7796

##
Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules

journal, August 2019

- Cai, Bao-Jun; Chen, Lie-Wen
- Physical Review C, Vol. 100, Issue 2

##
Spin-isospin correlated configurations in complex nuclei and neutron skin effect in ${\mathrm{W}}^{\pm}$ production in high-energy proton-lead collisions

journal, August 2019

- Alvioli, M.; Strikman, M.
- Physical Review C, Vol. 100, Issue 2

##
Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions

journal, November 2019

- Ryckebusch, Jan; Cosyn, Wim; Vieijra, Tom
- Physical Review C, Vol. 100, Issue 5

##
Counting statistics in finite Fermi systems: Illustrations with the atomic nucleus

journal, January 2020

- Lacroix, Denis; Ayik, Sakir
- Physical Review C, Vol. 101, Issue 1