Recently, a microscopically motivated nuclear energy density functional was derived by applying the density matrix expansion to the Hartree-Fock (HF) energy obtained from long-range chiral effective field theory two-and three-nucleon interactions. However, the HF approach cannot account for all many-body correlations. One class of correlations is included by Brueckner-Hartree-Fock (BHF) theory, which gives an improved definition of the one-body HF potential by replacing the interaction by a reaction matrix G. In this paper, we find that the difference between the G-matrix and the SRG evolved nucleon-nucleon potential V SRG can be well accounted for by a truncated series of contact terms. This is consistent with renormalization group decoupling generating a series of counterterms as short-distance physics is integrated out. The coefficients C n of the power series expansion C n q n for the counterterms are examined for two potentials at different renormalization group resolutions and at a range of densities. The success of this expansion for G−V SRG means we can apply the density matrix expansion at the HF level with low-momentum interactions and density-dependent zero-range interactions to model BHF correlations.
A fully relativistic Hartree-Bogoliubov approach for deformed nuclei AIP Conf.Abstract. The solution of coordinate-space Hartree-Fock-Bogoliubov approach can provide accurate descriptions of weakly-bound nuclei, in which the continuum effect plays an important role. However, this is not an easy task of solving HFB equations for non-spherical nuclei in the continuum. We discuss the exotic shapes obtained by coordinate-space HFB calculations within a large box size on China's Tianhe-1A supercomputer. Calculations with different box sizes are performed to distinguish the quasi-particle resonances and the non-resonance continuum.
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