Isovector properties of the Gogny interaction

Sellahewa, Roshan; Rios, Arnau

doi:10.1103/physrevc.90.054327

Cited by 83 publications

(101 citation statements)

References 84 publications

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“…The Gogny interaction has a zero-range density dependent term which is helpful in reproducing saturation properties of nuclear matter, together with a finite-range part modeled by two Gaussian functions that can simulate the short-and middlerange parts of nuclear forces. By using the Hartree-Fork approach, the EOS of asymmetric nuclear matter with Gogny interaction is expressed as [41,42] …”

Section: The Gogny-hartree-fock Modelmentioning

confidence: 99%

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Zhang

Chen

2017

Phys. Rev. C

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Background: Nuclear matter fourth-order symmetry energy Esym,4(ρ) may significantly influence the properties of neutron stars such as the core-crust transition density and pressure as well as the proton fraction at high densities. The magnitude of Esym,4(ρ) is, however, largely uncertain. Purpose: Based on systematic analyses of several popular non-relativistic energy density functionals with mean-field approximation, we estimate the value of the Esym,4(ρ) at nuclear normal density ρ0 and its density dependence, and explore the correlation between Esym,4(ρ0) and other macroscopic quantities of nuclear matter properties. Method: We use the empirical values of some nuclear macroscopic quantities to construct model parameter sets by Monte Carlo method for four different energy density functionals with mean-field approximation, namely, the conventional Skyrme-Hartree-Fock (SHF) model, the extended SkyrmeHartree-Fock (eSHF) model, the Gogny-Hartree-Fock (GHF) model, and the momentum-dependent interaction (MDI) model. With the constructed samples of parameter sets, we can estimate the density dependence of Esym,4(ρ) and analyze the correlation of Esym,4(ρ0) with other macroscopic quantities.Results: The value of Esym,4(ρ0) is estimated to be 1.02 ± 0.49 MeV for the SHF model, 1.02 ± 0.50 MeV for the eSHF model, 0.70 ± 0.60 MeV for the GHF model, and 0.74 ± 0.63 MeV for the MDI model. Moreover, our results indicate that the density dependence of Esym,4(ρ) is model dependent, especially at higher densities. Furthermore, we find that the Esym,4(ρ0) has strong positive (negative) correlation with isoscalar (isovector) nucleon effective mass m * s,0 (m * v,0 ) at ρ0. In particular, for the SHF and eSHF models, the Esym,4(ρ) is completely determined by the isoscalar and isovector nucleon effective masses m * s (ρ) and m * v (ρ), and the analytical expression is given. Conclusions: In the mean-field models, the magnitude of Esym,4(ρ0) is generally less than 2 MeV, and its density dependence depends on models, especially at higher densities. Esym,4(ρ0) is strongly correlated with m * s,0 and m * v,0 .

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Section: The Gogny-hartree-fock Modelmentioning

confidence: 99%

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Zhang

Chen

2017

Phys. Rev. C

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“…Usually the Gogny force also contains a zero-range spin-orbit term. We omit to include it, as generally done in the nuclear matter calculations [24,30,[48][49][50]. Indeed, in Ref.…”

Section: A Standard Parametrizations Of the Gogny Forcementioning

confidence: 99%

Nuclear response functions with finite-range Gogny force: Tensor terms and instabilities

Pace

Martini

2016

Phys. Rev. C

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A fully-antisymmetrized random phase approximation calculation employing the continued fraction technique is performed to study nuclear matter response functions with the finite range Gogny force. The most commonly used parameter sets of this force, as well as some recent generalizations that include the tensor terms are considered and the corresponding response functions are shown. The calculations are performed at first and second order in the continued fraction expansion and the explicit expressions for the second order tensor contributions are given. Comparisons between first and second order continued fraction expansion results are provided. The differences between the responses obtained at the two orders turn out to be more pronounced for the forces including tensor terms than for the standard Gogny ones. In the vector channels the responses calculated with Gogny forces including tensor terms are characterized by a large heterogeneity, reflecting the different choices for the tensor part of the interaction. For the sake of comparison the response functions obtained considering a G-matrix based nuclear interaction are also shown. As a first application of the present calculation, the possible existence of spurious finite-size instabilities of the Gogny forces with or without tensor terms has been investigated. The positive conclusion is that all the Gogny forces, but the GT2 one, are free of spurious finite-size instabilities. In perspective, the tool developed in the present paper can be inserted in the fitting procedure to construct new Gogny-type forces.

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“…They can be expressed as energy density functionals (EDF), which, in principle, are able to capture the essential features of the system. Amongst them, EDFs based on non-relativistic Hartree-Fock calculations with Skyrme or Gogny potentials are most familiar [3,4]. Relativistic or covariant EDFs can be constructed from relativistic mean-field (RMF) models that describe the strong interaction by an exchange of mesons, which are are usually assumed to couple minimally to nucleons.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Mean-Field Models with Different Parametrizations of Density Dependent Couplings

Typel

2018

Particles

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Relativistic mean-field models are successfully used for the description of finite nuclei and nuclear matter. Approaches with density-dependent meson-nucleon couplings assume specific functional forms and a dependence on vector densities in most cases. In this work, parametrizations with a larger sample of functions and dependencies on vector and scalar densities are investigated. They are obtained from fitting properties of finite nuclei. The quality of the description of nuclei and the obtained equations of state of symmetric nuclear matter and neutron matter below saturation are very similar. However, characteristic nuclear matter parameters, the equations of state and the symmetry energy at suprasaturation densities show some correlations with the choice of the density dependence and functional form of the couplings. Conditions are identified that can lead to problems for some of the parametrizations.

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Isovector properties of the Gogny interaction

Cited by 83 publications

References 84 publications

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Nuclear matter fourth-order symmetry energy in nonrelativistic mean-field models

Nuclear response functions with finite-range Gogny force: Tensor terms and instabilities

Relativistic Mean-Field Models with Different Parametrizations of Density Dependent Couplings

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