Abstract
We present the first application of a new approach, proposed in (2016 J. Phys. G: Nucl. Part. Phys. 43 04LT01) 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 initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point 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.
Highlights
Different energy scales that appear in nuclear systems suggest a theoretical approach based on effective field theories (EFT), which use relevant degrees of freedom adapted to a given energy scale [1]
We aim to explore a complementary approach, which is based on explicitly bridging the ab initio methods with the nuclear energy density functionals (EDFs)
Applying the methodology suggested in Ref. [28], we studied the link between the nuclear Skyrme functional and the NNLOsat chiral interaction used within the ab initio SelfConsistent Green’s Function calculations in ADC(3) approximation
Summary
Different energy scales that appear in nuclear systems suggest a theoretical approach based on effective field theories (EFT), which use relevant degrees of freedom adapted to a given energy scale [1]. A remarkable example is the chiral effective field theory (χ-EFT) [2, 3]: by using neutrons, protons, and pions as degrees of freedom, χ-EFT is able to provide consistent description of numerous observables in atomic nuclei. The description of open-shells nuclei has a recent history, started with the Gorkov-Green’s Function approach [8]. Another example of successful effective theory is the approach based on nuclear energy density functionals (EDFs) [9, 10]. In addition to finite nuclei, infinite nuclear matter properties can be addressed within the EDFs formalism [14, 15, 16], and included among the observables
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