Nuclear energy density functionals grounded in ab initio calculations

We discuss the construction of a nuclear energy density functional (EDF) from ab initio computations and advocate the need for a methodical approach that is free from ad hoc assumptions. The equations of state (EoSs) of symmetric nuclear and pure neutron matter are computed using the chiral NNLOsat and the phenomenological AV4' + UIXc Hamiltonians as inputs to self-consistent Green's function (SCGF) and auxiliary field diffusion Monte Carlo (AFDMC) methods. We propose a convenient parametrization of the EoS as a function of the Fermi momentum and fit it on the SCGF and AFDMC calculations. We apply the ab initio based EDF to carry out an analysis of the binding energies and charge radii of different nuclei in the local density approximation. The NNLOsat-based EDF produces encouraging results, whereas the AV4' + UIXc-based one is farther from experiment. Possible explanations of these different behaviors are suggested, and the importance of gradient and spin-orbit terms is analyzed. Our paper paves the way for a practical and systematic way to merge ab initio nuclear theory and density functional theory, while shedding light on some critical aspects of this procedure.

Automated summary

Our paper discusses the construction of a nuclear energy density functional (EDF) from ab initio computations and emphasizes the importance of a systematic approach free from ad hoc assumptions. Through the use of different Hamiltonians, we compute the equations of state (EoSs) for symmetric nuclear and pure neutron matter, and then analyze the binding energies and charge radii of different nuclei using the ab initio based EDF.