Nuclear energy density functionals grounded in ab initio calculations
| Autor: | Marino, F., Barbieri, C., Colò, G., Lovato, A., Pederiva, F., Roca-Maza, X., Vigezzi, E. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 104, 024315 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.104.024315 |
| 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: | arXiv |
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