Linear response of homogeneous nuclear matter with energy density functionals

Pastore, Alessandro; Davesne, D.; Navarro, J.

doi:10.1016/j.physrep.2014.11.002

Cited by 61 publications

(86 citation statements)

References 208 publications

(371 reference statements)

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“…This method has been the subject of a recent review article [19], where all the details of the formalism are presented and discussed. We limit ourselves to sketch the basic ingredients of the formalism.…”

Section: Rpa Instabilities In Infinite Mattermentioning

confidence: 99%

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

et al. 2015

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Background It has been recently shown, that some Skyrme functionals can lead to non-converging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the appearance of finite-size instabilities in symmetric nuclear matter (SNM) around saturation density.Purpose We show that the finite-size instabilities not only affect the ground state properties of atomic nuclei, but they can also influence the calculations of vibrational excited states in finite nuclei.Method We perform systematic fully-self consistent Random Phase Approximation (RPA) calculations in spherical doublymagic nuclei. We employ several Skyrme functionals and vary the isoscalar and isovector coupling constants of the time-odd term s · ∆s . We determine critical values of these coupling constants beyond which the RPA calculations do not converge because RPA the stability matrix becomes non-positive.Results By comparing the RPA calculations of atomic nuclei with those performed for SNM we establish a correspondence between the critical densities in the infinite system and the critical coupling constants for which the RPA calculations do not converge.Conclusions We find a quantitative stability criterion to detect finite-size instabilities related to the spin s · ∆s term of a functional. This criterion could be easily implemented into the standard fitting protocols to fix the coupling constants of the Skyrme functional.

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Section: Rpa Instabilities In Infinite Mattermentioning

confidence: 99%

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

et al. 2015

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“…The effects of other density-dependent terms [14] and of the threebody forces [15] have also been treated. A review on this topic recently appeared [16]. The two main applications of this kind of calculations have been, up to now, the study of the unphysical finite-size instabilities in nuclear energy density functionals [11,12,14,[17][18][19] and the calculation of the neutrino mean free path in nuclear and neutron matter [9,12,14,[20][21][22].…”

Section: Introductionmentioning

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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“…In this case the splitting between partial waves is present also for the D and F waves although the sign is not correct for the P and F waves: as already outlined in Ref. [34], there is a possible inconsistency between the tensor parameters fitted using finite-nuclei constraints [35] and those deduced from infinite nuclear matter properties.This inconsistency was also emphasized in a previous analysis Refs [64,65] based on Landau parameters, where a discrepancy between the sign of H l parameters and abinitio results was spotted.…”

Section: Decomposition In Partial Wavesmentioning

confidence: 80%

Infinite matter properties and zero-range limit of non-relativistic finite-range interactions

et al. 2016

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We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and spin-orbit terms from the spin-isospin channels and the partial wave decomposition of the symmetric nuclear matter equation of state. We show in particular that the central part of the Gogny interaction should benefit from the introduction of a third Gaussian and the tensor parameters of both interactions can be deduced from special combinations of partial waves. We also discuss the fact that the spin-orbit of the M3Y interaction is not compatible with local gauge invariance. Finally, we show that the zerorange limit of both families of interactions coincides with the specific form of the zero-range Skyrme interaction extended to higher momentum orders and we emphasize from this analogy its benefits.

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Linear response of homogeneous nuclear matter with energy density functionals

Cited by 61 publications

References 208 publications

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

Spurious finite-size instabilities in nuclear energy density functionals: Spin channel

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

Infinite matter properties and zero-range limit of non-relativistic finite-range interactions

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