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, vol. 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 initioequivalent 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.

Toward ab initio charge symmetry breaking in nuclear energy density functionals

“…The parameter sets of EDFs introduced in the nuclear density functional theory (DFT) have been determined phenomenologically to reproduce experimental masses and charge radii, as well as nuclear matter properties. To make a link to microscopic approaches of EDFs, ab initio determination of such parameters is highly motivated [2,[18][19][20][21][22][23][24][25][26][27]. To attain such a goal, novel methods using functional renormalization group [28][29][30][31][32][33][34][35][36] and inverse Kohn-Sham method [37][38][39] have also been proposed, although these attempts are still limited.…”

Local energy density functional for superfluid Fermi gases from effective field theory

“…We still lack a general framework that allow for systematically improvable form of such quantities starting from the bare interaction. Among recent attempts to obtain a DFT from first principle, one can refer to the EFT for dilute Fermi gas [62,93,[115][116][117][118][119][120], the bilocal Legendre transforms techniques [90,[121][122][123], the DFT driven by ab initio calculations [69,124] which did not lead to satisfying results [125,126]. On the other hand, the SLDA have proven to provide the formidable precision in the description of strongly correlated Fermi gases, despite its astonishing simplicity.…”

Constraining nuclear matter parameters from correlation systematics: a mean-field perspective

“…The curse of dimensionality in solving the complex many-body problem along with the somewhat hazy knowledge of the nucleonic interaction has limited their predictive power upto only light nuclei and upto density close to saturation density and somewhat beyond [57,58,59,60], that too with a precision that may be insufficient. A complementary approach was recently proposed aimed explicitly in bridging the ab-initio methods with an ab-initio equivalent Skyrme EDF [61]. This was found to describe properties of nuclei and nuclear matter poorly.…”