Testing the density matrix expansion against<i>ab initio</i>calculations of trapped neutron drops

Bogner, S. K.; Furnstahl, R. J.; Hergert, H.; Kortelainen, M. J.; Maris, Pieter; Stoitsov, M. V.; Vary, James P.

doi:10.1103/physrevc.84.044306

Cited by 49 publications

(70 citation statements)

References 40 publications

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“…Various improvements are anticipated in the near future. Those include constraining the EDF at sub-saturation densities using ab initio models [98,99] and using the density matrix expansion to develop an EDF based on microscopic nuclear interactions [100]. This work will be carried out under the Nuclear Low Energy Computational Initiative (NU-CLEI) [101].…”

Section: Discussionmentioning

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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Section: Discussionmentioning

confidence: 99%

Symmetry energy in nuclear density functional theory

et al. 2014

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“…Since neutron drops are not self-bound [89], an external potential must be used to confine them. By studying neutron drops, one can test different ab initio approaches and their correspondence to DFT calculations [87,88]; investigate the validity of the density matrix expansion [90]; and develop a theoretical link between neutron-rich nuclei and the neutron matter found in the neutron star crust [91]. Figure 11 presents the results of unedf0 and unedf1 calculations for neutron drops confined by two external HO traps with ω = 5 MeV and 10 MeV.…”

Section: Neutron Dropsmentioning

confidence: 99%

Nuclear energy density optimization: Large deformations

et al. 2012

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A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm pounders. A sensitivity analysis at the optimal solution has revealed the importance of states at large deformations in driving the parameterization of the functional. The good agreement with experimental data on masses and separation energies, achieved with the previous parameterization unedf0, is largely preserved. In addition, the new energy density unedf1 gives a much improved description of the fission barriers in 240 Pu and neighboring nuclei.

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“…Neutron drops in external potentials provide useful constraints for energy-density functionals and their applications to neutron-rich nuclei [22,39]. They constitute a simplified model of neutron-rich nuclei, where the external well simulates the effects of the core on the valence neutrons.…”

Section: Neutron Dropsmentioning

confidence: 99%

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

et al. 2016

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Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to nextto-next-to-leading order (N 2 LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. In particular, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.

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Testing the density matrix expansion againstab initiocalculations of trapped neutron drops

Cited by 49 publications

References 40 publications

Symmetry energy in nuclear density functional theory

Symmetry energy in nuclear density functional theory

Nuclear energy density optimization: Large deformations

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

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