Minimal nuclear energy density functional
Abstract
In this paper, we present a minimal nuclear energy density functional (NEDF) called “SeaLL1” that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by seven significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of eveneven nuclei with a mean energy error of $0.97\phantom{\rule{0ex}{0ex}}\mathrm{MeV}$ and a standard deviation of $1.46\phantom{\rule{0ex}{0ex}}\mathrm{MeV}$, twoneutron and twoproton separation energies with rms errors of $0.69\phantom{\rule{0ex}{0ex}}\mathrm{MeV}$ and $0.59\phantom{\rule{0ex}{0ex}}\mathrm{MeV}$ respectively, and the charge radii of 345 eveneven nuclei with a mean error ${\epsilon}_{r}=0.022\phantom{\rule{0ex}{0ex}}\mathrm{fm}$ and a standard deviation ${\sigma}_{r}=0.025\phantom{\rule{0ex}{0ex}}\mathrm{fm}$. SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory twobody ( $\mathit{NN}$) interactions at the nexttonexttonextto leading order (N3LO) level and threebody ( $\mathit{NNN}$) interactions at the nexttonextto leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spinorbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on groundstate properties but can be used to finetune features such as the ThomasReicheKuhn sum rule, the excitation energy of the giant dipole and GamowTeller resonances, the static dipole electric polarizability, and the neutron skin thickness.
 Authors:

 Univ. of Washington, Seattle, WA (United States). Dept. of Physics
 Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Washington State Univ., Pullman, WA (United States). Dept. of Physics and Astronomy
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Science Division
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Washington, Seattle, WA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21); National Science Foundation (NSF)
 OSTI Identifier:
 1438670
 Alternate Identifier(s):
 OSTI ID: 1433432
 Report Number(s):
 LLNLJRNL737442
Journal ID: ISSN 24699985; TRN: US1900480
 Grant/Contract Number:
 AC5207NA27344; FG0297ER41014; PHY0922770
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; asymmetric nuclear matter; binding energy & masses; charge distributions; fission; nuclear astrophysics; nuclear binding; nuclear charge distribution; nuclear manybody theory; nuclear matter; nuclear matter in neutron stars; symmetry energy; nuclear density functional theory; nuclear structure & decays
Citation Formats
Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, and Schunck, Nicolas. Minimal nuclear energy density functional. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.044313.
Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, & Schunck, Nicolas. Minimal nuclear energy density functional. United States. doi:10.1103/PhysRevC.97.044313.
Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, and Schunck, Nicolas. Tue .
"Minimal nuclear energy density functional". United States. doi:10.1103/PhysRevC.97.044313. https://www.osti.gov/servlets/purl/1438670.
@article{osti_1438670,
title = {Minimal nuclear energy density functional},
author = {Bulgac, Aurel and Forbes, Michael McNeil and Jin, Shi and Perez, Rodrigo Navarro and Schunck, Nicolas},
abstractNote = {In this paper, we present a minimal nuclear energy density functional (NEDF) called “SeaLL1” that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by seven significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of eveneven nuclei with a mean energy error of 0.97MeV and a standard deviation of 1.46MeV, twoneutron and twoproton separation energies with rms errors of 0.69MeV and 0.59MeV respectively, and the charge radii of 345 eveneven nuclei with a mean error εr=0.022fm and a standard deviation σr=0.025fm. SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory twobody (NN) interactions at the nexttonexttonextto leading order (N3LO) level and threebody (NNN) interactions at the nexttonextto leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spinorbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on groundstate properties but can be used to finetune features such as the ThomasReicheKuhn sum rule, the excitation energy of the giant dipole and GamowTeller resonances, the static dipole electric polarizability, and the neutron skin thickness.},
doi = {10.1103/PhysRevC.97.044313},
journal = {Physical Review C},
issn = {24699985},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}
Web of Science
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