Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties
Abstract
Statistical errors in ground state observables and single-particle properties of spherical even-even nuclei and their propagation to the limits of nuclear landscape have been investigated in covariant density functional theory (CDFT) for the first time. Here, we consider only covariant energy density functionals with non-linear density dependency. Statistical errors for binding energies and neutron skins significantly increase on approaching two-neutron drip line. On the contrary, such a trend does not exist for statistical errors in charge radii and two-neutron separation energies. The absolute and relative energies of the single-particle states in the vicinity of the Fermi level are characterized by low statistical errors ($$\sigma(e_i)\sim 0.1$$ MeV). Statistical errors in the predictions of spin-orbit splittings are rather small. Statistical errors in physical observables are substantially smaller than related systematic uncertainties. As a result, at the present level of the development of theory, theoretical uncertainties at nuclear limits are dominated by systematic ones. Statistical errors in the description of physical observables related to the ground state and single-particle degrees of freedom are typically substantially lower in CDFT as compared with Skyrme density functional theory. The correlations between the model parameters are studied in detail. The parametric correlations are especially pronounced for the $$g_2$$ and $$g_3$$ parameters which are responsible for the density dependence of the model. The accounting of this fact potentially allows to reduce the number of free parameters of non-linear meson coupling model from six to five.
- Authors:
-
- Mississippi State Univ., Mississippi State, MS (United States)
- Publication Date:
- Research Org.:
- Mississippi State Univ., Mississippi State, MS (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1597105
- Alternate Identifier(s):
- OSTI ID: 1492106
- Grant/Contract Number:
- SC0013037
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 1; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Binding energy & masses; Charge distributions; Energy levels & level densities; Nuclear density functional theory
Citation Formats
Agbemava, S. E., Afanasjev, Anatoli V., and Taninah, A. Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.99.014318.
Agbemava, S. E., Afanasjev, Anatoli V., & Taninah, A. Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties. United States. https://doi.org/10.1103/PhysRevC.99.014318
Agbemava, S. E., Afanasjev, Anatoli V., and Taninah, A. Fri .
"Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties". United States. https://doi.org/10.1103/PhysRevC.99.014318. https://www.osti.gov/servlets/purl/1597105.
@article{osti_1597105,
title = {Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties},
author = {Agbemava, S. E. and Afanasjev, Anatoli V. and Taninah, A.},
abstractNote = {Statistical errors in ground state observables and single-particle properties of spherical even-even nuclei and their propagation to the limits of nuclear landscape have been investigated in covariant density functional theory (CDFT) for the first time. Here, we consider only covariant energy density functionals with non-linear density dependency. Statistical errors for binding energies and neutron skins significantly increase on approaching two-neutron drip line. On the contrary, such a trend does not exist for statistical errors in charge radii and two-neutron separation energies. The absolute and relative energies of the single-particle states in the vicinity of the Fermi level are characterized by low statistical errors ($\sigma(e_i)\sim 0.1$ MeV). Statistical errors in the predictions of spin-orbit splittings are rather small. Statistical errors in physical observables are substantially smaller than related systematic uncertainties. As a result, at the present level of the development of theory, theoretical uncertainties at nuclear limits are dominated by systematic ones. Statistical errors in the description of physical observables related to the ground state and single-particle degrees of freedom are typically substantially lower in CDFT as compared with Skyrme density functional theory. The correlations between the model parameters are studied in detail. The parametric correlations are especially pronounced for the $g_2$ and $g_3$ parameters which are responsible for the density dependence of the model. The accounting of this fact potentially allows to reduce the number of free parameters of non-linear meson coupling model from six to five.},
doi = {10.1103/PhysRevC.99.014318},
journal = {Physical Review C},
number = 1,
volume = 99,
place = {United States},
year = {Fri Jan 25 00:00:00 EST 2019},
month = {Fri Jan 25 00:00:00 EST 2019}
}
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