Nuclear energy density functionals grounded in ab initio calculations

Marino, Francesco; Barbieri, Carlo; Carbone, A.; Colò, Gianluca; Lovato, Alessandro; Pederiva, F.; Roca-Maza, X.; Vigezzi, Enrico

doi:10.1103/physrevc.104.024315

Nuclear energy density functionals grounded in ab initio calculations

Journal Article · Mon Aug 09 00:00:00 EDT 2021 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.104.024315· OSTI ID:1864337

^[1]; ^[1]; Carbone, A. ^[2]; ^[1]; ^[3]; Pederiva, F. ^[4]; ^[1]; ^[5]

Univ. degli Studi di Milano (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)
Istituto Nazionale di Fisica Nucleare–CNAF, Bologna (Italy)
Argonne National Lab. (ANL), Argonne, IL (United States); Istituto Nazionale di Fisica Nucleare (INFN), Trento (Italy)
Univ. of Trento (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Trento (Italy)
Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)

Here, 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 NNLO_sat and the phenomenological AV4' + UIX_c 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 NNLO_sat-based EDF produces encouraging results, whereas the AV4' + 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 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.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: Argonne National Laboratory (ANL). Laboratory Directed Research and Development (LDRD); European Union (EU) Horizon 2020 research and innovation; Instituto Nazionale di Fisica Nucleare (INFN); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1864337

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 104; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Nuclear energy density functionals grounded in ab initio calculations

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