Toward ab initio density functional theory for nuclei

Drut, Joaquín E.; Furnstahl, R. J.; Platter, Lucas

doi:10.1016/j.ppnp.2009.09.001

Cited by 145 publications

(185 citation statements)

References 208 publications

(437 reference statements)

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“…An alternative to the DME for microscopically based EDF's uses the more completely microscopic but computationally far more intensive Optimized Effective Potential (OEP) method [10]. In Ref.…”

Section: Resultsmentioning

confidence: 99%

“…The UNEDF project aims to develop a comprehensive theory of nuclear structure and reactions utilizing the most advanced computational resources and algorithms available, including high-performance computing techniques to scale to petaflop platforms and beyond [7]. One element of the UNEDF program involves the direct injection of microscopic physics into novel energy functionals, with the DME a key tool [9][10][11][12]. Another element has led to efficient density functional theory (DFT) solvers adapted for the DME [13] and to neutrons in external traps, which allow accurate and rapid testing of candidate functionals [14].…”

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confidence: 99%

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Testing the density matrix expansion againstab initiocalculations of trapped neutron drops

et al. 2011

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Microscopic input to a universal nuclear energy density functional can be provided through the density matrix expansion (DME), which has recently been revived and improved. Several DME implementation strategies are tested for neutron drop systems in harmonic traps by comparing to Hartree-Fock (HF) and ab initio no-core full configuration (NCFC) calculations with a model interaction (Minnesota potential). The new DME with exact treatment of Hartree contributions is found to best reproduce HF results and supplementing the functional with fit Skyrme-like contact terms shows systematic improvement toward the full NCFC results.

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Section: Resultsmentioning

confidence: 99%

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confidence: 99%

Testing the density matrix expansion againstab initiocalculations of trapped neutron drops

et al. 2011

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“…Such models can be essential in incorporating exact pairing correlations into a general theory of self-consistent mean-field type, such as density functional theory (DFT) framework. The DFT approach generally yields an excellent accounting of binding energies as well as near ground state phenomena across much of the nuclear landscape (see, e.g., the review [250]). It can link to an ab initio foundation to achieve better predictive capabilities across most of the chart of the nuclides.…”

Section: Seniority Scheme and Exact Pairing Theorymentioning

confidence: 99%

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

125

173

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In this review, we present a symmetry-guided strategy that utilizes exact as well as partial symmetries for enabling a deeper understanding of and advancing ab initio studies for determining the microscopic structure of atomic nuclei. These symmetries expose physically relevant degrees of freedom that, for large-scale calculations with QCD-inspired interactions, allow the model space size to be reduced through a very structured selection of the basis states to physically relevant subspaces. This can guide explorations of simple patterns in nuclei and how they emerge from first principles, as well as extensions of the theory beyond current limitations toward heavier nuclei and larger model spaces. This is illustrated for the ab initio symmetry-adapted no-core shell model (SA-NCSM) and two significant underlying symmetries, the symplectic Sp(3, R) group and its deformation-related SU(3) subgroup. We review the broad scope of nuclei, where these symmetries have been found to play a key role -from the light p-shell systems, such as 6 Li, 8 B, 8 Be, 12 C, and 16 O, and sd-shell nuclei exemplified by 20 Ne, based on first-principle explorations; through the Hoyle state in 12 C and enhanced collectivity in intermediate-mass nuclei, within a no-core shell-model perspective; up to strongly deformed species of the rare-earth and actinide regions, as investigated in earlier studies. A complementary picture, driven by symmetries dual to Sp(3, R), is also discussed. We briefly review symmetry-guided techniques that prove useful in various nuclear-theory models, such as Elliott model, ab initio SA-NCSM, symplectic model, pseudo-SU(3) and pseudo-symplectic models, ab initio hyperspherical harmonics method, ab initio lattice effective field theory, exact pairing -plusshell model approaches, and cluster models, including the resonating-group method. Important implications of these approaches that have deepened our understanding of emergent phenomena in nuclei, such as enhanced collectivity, giant resonances, pairing, halo, and clustering, are discussed, with a focus on emergent patterns in the framework of the ab initio SA-NCSM with no a priori assumptions.

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“…All these approaches are thought to be different realizations of an underlying effective field theory [9] with the ultraviolet physics hidden in free parameters adjusted to observations. For that reason, predictions for low-energy (infrared) physics should be fairly independent of the particular variant used in calculations [10][11][12][13]. The underlying EDFs are constructed in a phenomenological way, with coupling constants optimized to selected nuclear data and expected properties of homogeneous nuclear matter.…”

Section: Introductionmentioning

confidence: 99%

Symmetry energy in nuclear density functional theory

et al. 2014

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Abstract. The nuclear symmetry energy represents a response to the neutron-proton asymmetry. In this paper we discuss various aspects of symmetry energy in the framework of nuclear density functional theory, considering both non-relativistic and relativistic self-consistent mean-field realizations side by side. Key observables pertaining to bulk nucleonic matter and finite nuclei are reviewed. Constraints on the symmetry energy and correlations between observables and symmetry energy parameters, using statistical covariance analysis, are investigated. Perspectives for future work are outlined in the context of ongoing experimental efforts.

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Toward ab initio density functional theory for nuclei

Cited by 145 publications

References 208 publications

Testing the density matrix expansion againstab initiocalculations of trapped neutron drops

Testing the density matrix expansion againstab initiocalculations of trapped neutron drops

Symmetry-guided large-scale shell-model theory

Symmetry energy in nuclear density functional theory

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