Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

Gebremariam, B; Bogner, S. K.; Duguet, Thomas

doi:10.1016/j.nuclphysa.2010.12.009

Cited by 31 publications

(44 citation statements)

References 65 publications

(114 reference statements)

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“…Only very recently this route was started to be explored in non-relativistic EDFs, see, Refs. [83][84][85][86][87][88][89][90][91], so its eventual impact on the physics discussed here is not yet known. …”

Section: Discussionmentioning

confidence: 99%

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

et al. 2015

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International audienceWe calculate properties of the ground and excited states of nuclei in the nobelium region for proton and neutron numbers of 92≤Z≤10492≤Z≤104 and 144≤N≤156144≤N≤156, respectively. We use three different energy-density-functional (EDF) approaches, based on covariant, Skyrme, and Gogny functionals, each with two different parameter sets. A comparative analysis of the results obtained for quasiparticle spectra, odd–even and two-particle mass staggering, and moments of inertia allows us to identify single-particle and shell effects that are characteristic to these different models and to illustrate possible systematic uncertainties related to using the EDF modelling

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Section: Discussionmentioning

confidence: 99%

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

et al. 2015

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“…In this section we review how chiral low-momentum interactions can be employed for the description of properties of finite nuclei [85,86,87,88,89,90]. We leave aside the highly sophisticated ab-initio methods which have been developed over the past decades in order to solve (numerically) the nuclear A-body problem with a given two-and three-nucleon interaction.…”

Section: Density Functional Methods and Finite Nucleimentioning

confidence: 99%

“…[86]. There it has been suggested that the density-dependent couplings associated with pion-exchange should be added to a standard Skyrme functional with re-adjusted parameters.…”

Section: Density Functional Methods and Finite Nucleimentioning

confidence: 99%

Nuclear chiral dynamics and thermodynamics

Holt

Kaiser

Weise

2013

Progress in Particle and Nuclear Physics

108

144

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This presentation reviews an approach to nuclear many-body systems based on the spontaneously broken chiral symmetry of low-energy QCD. In the low-energy limit, for energies and momenta small compared to a characteristic symmetry breaking scale of order 1 GeV, QCD is realized as an effective field theory of Goldstone bosons (pions) coupled to heavy fermionic sources (nucleons). Nuclear forces at long and intermediate distance scales result from a systematic hierarchy of one-and two-pion exchange processes in combination with Pauli blocking effects in the nuclear medium. Short distance dynamics, not resolved at the wavelengths corresponding to typical nuclear Fermi momenta, are introduced as contact interactions between nucleons. Apart from a set of low-energy constants associated with these contact terms, the parameters of this theory are entirely determined by pion properties and low-energy pion-nucleon scattering observables. This framework (in-medium chiral perturbation theory) can provide a realistic description of both isospin-symmetric nuclear matter and neutron matter, with emphasis on the isospin-dependence determined by the underlying chiral NN interaction. The importance of three-body forces is emphasized, and the role of explicit ∆(1232)-isobar degrees of freedom is investigated in detail. Nuclear chiral thermodynamics is developed and a calculation of the nuclear phase diagram is performed. This includes a successful description of the first-order phase transition from a nuclear Fermi liquid to an interacting Fermi gas and the coexistence of these phases below a critical temperature T c . Density functional methods for finite nuclei based on this approach are also discussed. Effective interactions, their density dependence and connections to Landau Fermi liquid theory are outlined. Finally, the density and temperature dependence of the chiral (quark) condensate is investigated.

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“…Extensions of the first calculations from [11] have modified the original DME formalism from Negele and Vautherin [21,22], whose deficiencies include an extremely poor description of the vector part of the density matrix. Gebremariam and collaborators [26,27] introduced a new phase-space-averaging (PSA) approach. The PSA approach leads to substantial improvements, particularly for the vector density, where relative errors in integrated quantities are reduced by as much as an order of magnitude across isotope chains.…”

Section: A Dmementioning

confidence: 99%

Incorporating Brueckner-Hartree-Fock correlations in energy density functionals

2018

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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.

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Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

Cited by 31 publications

References 65 publications

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

Nuclear chiral dynamics and thermodynamics

Incorporating Brueckner-Hartree-Fock correlations in energy density functionals

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