Nuclear energy density functionals grounded in ab initio calculations
| Autor: | F. Marino, Xavier Roca-Maza, C. Barbieri, A. Carbone, Alessandro Lovato, Gianluca Colò, Francesco Pederiva, E. Vigezzi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Nuclear Theory 010308 nuclear & particles physics Binding energy Ab initio FOS: Physical sciences Charge (physics) 7. Clean energy 01 natural sciences Nuclear Theory (nucl-th) Auxiliary field Ab initio quantum chemistry methods Quantum mechanics 0103 physical sciences Diffusion Monte Carlo Density functional theory Local-density approximation 010306 general physics |
| Zdroj: | Physical Review C |
| ISSN: | 2469-9993 2469-9985 |
| Popis: | We discuss the construction of a nuclear Energy Density Functional (EDF) from ab initio calculations, and we advocate the need of a methodical approach that is free from ad hoc assumptions. The equations of state (EoS) of symmetric nuclear and pure neutron matter are computed using the chiral NNLO$_{\rm sat}$ and the phenomenological AV4$^\prime$+UIX$_{c}$ Hamiltonians as inputs in the Self-consistent Green's Function (SCGF) and Auxiliary Field Diffusion Monte Carlo (AFDMC) methods, respectively. 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 NNLO$_{\rm sat}$-based EDF produces encouraging results, whereas the AV4$^\prime$+UIX$_{c}$-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 work paves the way for a practical and systematic way to merge ab initio nuclear theory and DFT, while at the same time it sheds light on some of the critical aspects of this procedure. Comment: 14 pages, 6 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|