Minimal nuclear energy density functional

Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi; Perez, Rodrigo Navarro; Schunck, Nicolas

doi:10.1103/PhysRevC.97.044313

Title: Minimal nuclear energy density functional

Journal Article · 17 April 2018 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.97.044313 · OSTI ID:1438670

Bulgac, Aurel ^[1]; Forbes, Michael McNeil ^[2]; Jin, Shi ^[1]; Perez, Rodrigo Navarro ^[3]; Schunck, Nicolas ^[3]

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

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.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Science Foundation (NSF) (United States)

Grant/Contract Number:: AC52-07NA27344; FG02-97ER41014

OSTI ID:: 1438670

Report Number(s):: LLNL-JRNL--737442

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 97; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation Navarro Pérez, R.; Schunck, N.; Dyhdalo, A. Physical Review C, Vol. 97, Issue 5 https://doi.org/10.1103/physrevc.97.054304	journal	May 2018
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TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review Sekizawa, Kazuyuki Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00020	journal	March 2019
TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review Sekizawa, Kazuyuki arXiv https://doi.org/10.48550/arxiv.1902.01616	text	January 2019

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