Model nuclear energy density functionals derived from ab initio calculations

Abstract

We present the first application of a new approach, proposed in [Journal of Physics G: Nuclear and Particle Physics, 43, 04LT01 (2016)] to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian. By perturbing the ab initio Hamiltonian with several functional generators defining the Skyrme EDF, we create a set of metadata that is then used to constrain the coupling constants of the functional. We use statistical analysis to obtain such an ab initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point out to the necessity of building up the ab initio-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of the ab initio calculations may be insufficient for deriving meaningful nuclear EDFs.

24 pages, 7 figures

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Solution of the center-of-mass problem in nuclear structure calculations
• Quasiparticle and quasihole states of nuclei around 56Ni
• Error Analysis in Nuclear Density Functional Theory
• Error analysis of nuclear mass fits
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Setting nonperturbative uncertainties on finite-temperature properties of neutron matter

Cited by in corpus (10)

• What is ab initio in nuclear theory?
• Nuclear energy density functionals grounded in ab initio calculations
• The angular correlation between the fission fragment intrinsic spins
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
• Optimized nuclear energy density functionals including long-range pion contributions
• The complete inverse Kohn-Sham problem: from the density to the energy
• Fragment Intrinsic Spins and Fragments' Relative Orbital Angular Momentum in Nuclear Fission
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei
• Local energy density functional for superfluid Fermi gases from effective field theory