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A Minimal Nuclear Energy Density Functional | | Aurel Bulgac
; Michael McNeil Forbes
; Shi Jin
; Rodrigo Navarro Perez
; Nicolas Schunck
; | | Date: |
27 Aug 2017 | | Abstract: | We present a minimal NEDF called "SeaLL1" that has the smallest number of
possible phenomenological parameters to date. SeaLL1 is defined by 7
significant phenomenological parameters, each related to a specific nuclear
property. Even in its present form, which is not yet fully optimized, the
SeaLL1 NEDF describes the nuclear masses of 606 even-nuclei from the AME2012
evaluation with a mean energy error of 0.97MeV and a standard deviation
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
[Angeli:2013] with an rms error of 0.034fm. SeaLL1 incorporates the equation of
state of pure neutron matter from quantum Monte Carlo calculations with chiral
effective field theory two-body (NN) interactions at N3LO level and three-body
(NNN) interactions at the N2LO level. Two of the 7 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. We identify additional phenomenological parameters that
have little effect on the previous properties, but can be used to fine tune
other nuclear 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. | | Source: | arXiv, 1708.8771 | | Services: | Forum | Review | PDF | Favorites | |
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