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Title: Neutron-skin uncertainties of Skyrme energy density functionals

Abstract

Neutron-skin thickness is an excellent indicator of isovector properties of atomic nuclei. As such, it correlates strongly with observables in finite nuclei that depend on neutron-to-proton imbalance and the nuclear symmetry energy that characterizes the equation of state of neutron-rich matter. A rich worldwide experimental program involving studies with rare isotopes, parity-violating electron scattering, and astronomical observations is devoted to pinning down the isovector sector of nuclear models. We assess the theoretical systematic and statistical uncertainties of neutron-skin thickness and relate them to the equation of state of nuclear matter, and in particular to nuclear symmetry energy parameters. We use the nuclear superfluid density functional theory with several Skyrme energy density functionals and density dependent pairing. To evaluate statistical errors and their budget, we employ the statistical covariance technique. We find that the errors on neutron skin increase with neutron excess. Statistical errors due to uncertain coupling constants of the density functional are found to be larger than systematic errors, the latter not exceeding 0.06 fm in most neutron-rich nuclei across the nuclear landscape. The single major source of uncertainty is the poorly determined slope $$L$$ of the symmetry energy that parametrizes its density dependence. To provide essential constraints onmore » the symmetry energy of the nuclear energy density functional, next-generation measurements of neutron skins are required to deliver precision better than 0.06 fm.« less

Authors:
 [1];  [2];  [3];  [2];  [4];  [2]
  1. Univ. of Jyvaskyla (Finland). Dept. of Physics; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
  2. Heidelberg Univ. (Germany). Division Biophysics of Macromolecules, German Cancer Research Center (DKFZ)
  3. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Warsaw (Poland). Faculty of Physics
  4. Univ. of Jyvaskyla (Finland). Dept. of Physics
Publication Date:
Research Org.:
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565058
Grant/Contract Number:  
FG02-96ER40963; SC0008499
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C, Nuclear Physics
Additional Journal Information:
Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics

Citation Formats

Kortelainen, M., Erler, J., Nazarewicz, W., Birge, N., Gao, Y., and Olsen, E. Neutron-skin uncertainties of Skyrme energy density functionals. United States: N. p., 2013. Web. doi:10.1103/physrevc.88.031305.
Kortelainen, M., Erler, J., Nazarewicz, W., Birge, N., Gao, Y., & Olsen, E. Neutron-skin uncertainties of Skyrme energy density functionals. United States. https://doi.org/10.1103/physrevc.88.031305
Kortelainen, M., Erler, J., Nazarewicz, W., Birge, N., Gao, Y., and Olsen, E. 2013. "Neutron-skin uncertainties of Skyrme energy density functionals". United States. https://doi.org/10.1103/physrevc.88.031305. https://www.osti.gov/servlets/purl/1565058.
@article{osti_1565058,
title = {Neutron-skin uncertainties of Skyrme energy density functionals},
author = {Kortelainen, M. and Erler, J. and Nazarewicz, W. and Birge, N. and Gao, Y. and Olsen, E.},
abstractNote = {Neutron-skin thickness is an excellent indicator of isovector properties of atomic nuclei. As such, it correlates strongly with observables in finite nuclei that depend on neutron-to-proton imbalance and the nuclear symmetry energy that characterizes the equation of state of neutron-rich matter. A rich worldwide experimental program involving studies with rare isotopes, parity-violating electron scattering, and astronomical observations is devoted to pinning down the isovector sector of nuclear models. We assess the theoretical systematic and statistical uncertainties of neutron-skin thickness and relate them to the equation of state of nuclear matter, and in particular to nuclear symmetry energy parameters. We use the nuclear superfluid density functional theory with several Skyrme energy density functionals and density dependent pairing. To evaluate statistical errors and their budget, we employ the statistical covariance technique. We find that the errors on neutron skin increase with neutron excess. Statistical errors due to uncertain coupling constants of the density functional are found to be larger than systematic errors, the latter not exceeding 0.06 fm in most neutron-rich nuclei across the nuclear landscape. The single major source of uncertainty is the poorly determined slope $L$ of the symmetry energy that parametrizes its density dependence. To provide essential constraints on the symmetry energy of the nuclear energy density functional, next-generation measurements of neutron skins are required to deliver precision better than 0.06 fm.},
doi = {10.1103/physrevc.88.031305},
url = {https://www.osti.gov/biblio/1565058}, journal = {Physical Review C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 88,
place = {United States},
year = {2013},
month = {9}
}

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Sensitivity of the fusion cross section to the density dependence of the symmetry energy
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