Minimal nuclear energy density functional
Abstract
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 MeV and a standard deviation of 1.46 MeV , twoneutron and twoproton separation energies with rms errors of 0.69 MeV and 0.59 MeV respectively, and the charge radii of 345 eveneven nuclei with a mean error ∊_{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 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. 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.
 Publication:

Physical Review C
 Pub Date:
 April 2018
 DOI:
 10.1103/PhysRevC.97.044313
 arXiv:
 arXiv:1708.08771
 Bibcode:
 2018PhRvC..97d4313B
 Keywords:

 Nuclear Theory
 EPrint:
 Updated to match published version. This article supersedes arXiv:1506.09195. Fit data provided in source files *.txt. (35 pages, 23 figures.)