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Title: 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 even-even nuclei with a mean energy error of 0.97 MeV and a standard deviation of 1.46 MeV , two-neutron and two-proton separation energies with rms errors of 0.69 MeV and 0.59 MeV respectively, and the charge radii of 345 even-even nuclei with a mean error ε r = 0.022 fm and a standard deviation σ r = 0.025 fm . SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory two-body ( NN ) interactions at the next-to-next-to-next-to leading order (N3LO) level and three-body ( NNN ) interactions at the next-to-next-to 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 spin-orbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on ground-state properties but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.

Authors:
 [1];  [2];  [1];  [3];  [3]
  1. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  2. Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Washington State Univ., Pullman, WA (United States). Dept. of Physics and Astronomy
  3. 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); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
OSTI Identifier:
1438670
Alternate Identifier(s):
OSTI ID: 1433432
Report Number(s):
LLNL-JRNL-737442
Journal ID: ISSN 2469-9985; TRN: US1900480
Grant/Contract Number:  
AC52-07NA27344; FG02-97ER41014; PHY-0922770
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2469-9985
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 many-body 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 even-even nuclei with a mean energy error of 0.97MeV and a standard deviation of 1.46MeV, two-neutron and two-proton separation energies with rms errors of 0.69MeV and 0.59MeV respectively, and the charge radii of 345 even-even 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 two-body (NN) interactions at the next-to-next-to-next-to leading order (N3LO) level and three-body (NNN) interactions at the next-to-next-to 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 spin-orbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on ground-state properties but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.},
doi = {10.1103/PhysRevC.97.044313},
journal = {Physical Review C},
issn = {2469-9985},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

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  • Canaguier-Durand, Antoine; Maia Neto, Paulo A.; Lambrecht, Astrid
  • Physical Review A, Vol. 82, Issue 1
  • DOI: 10.1103/PhysRevA.82.012511

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