Gogny force with a finite-range density dependence

Chappert, F.; Pillet, N.; Girod, M.; Berger, J.-F.

doi:10.1103/physrevc.91.034312

Cited by 47 publications

(53 citation statements)

References 93 publications

(139 reference statements)

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“…Recent multiparticle-multihole configuration mixing studies [12,13] have motivated the elaboration of a generalized Gogny interaction with finite-range density, spin-orbit and tensor terms. Along that line, Gogny D2 interaction with a finite range density term has been designed [14]. The second strategy is more based on brute force using HFB with a self-consistent account of quadrupole correlations energies within the 5DCH approach.…”

Section: Nuclear Energy Density Functionalmentioning

confidence: 99%

Prospective study on microscopic potential with Gogny interaction

2015

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Abstract. We present our current studies and our future plans on microscopic potential based on effective nucleon-nucleon interaction and many-body theory. This framework treats in an unified way nuclear structure and reaction. It offers the opportunity to link the underlying effective interaction to nucleon scattering observables. The more consistently connected to a variety of reaction and structure experimental data the framework will be, the more constrained effective interaction will be. As a proof of concept, we present some recent results for both neutron and proton scattered from spherical target nucleus, namely 40 Ca, using the Gogny D1S interaction. Possible fruitful crosstalks between microscopic potential, phenomenological potential and effective interaction are exposed. We then draw some prospective plans for the forthcoming years including scattering from spherical nuclei experiencing pairing correlations, scattering from axially deformed nuclei, and new effective interaction with reaction constraints. PACS. PACS-key describing text of that key -PACS-key describing text of that key

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Section: Nuclear Energy Density Functionalmentioning

confidence: 99%

Prospective study on microscopic potential with Gogny interaction

2015

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“…To this purpose one has to minimize in a multi-dimensional space a penalty function. The latter is obtained by considering some observables of finite nuclei as for example masses and radii and some pseudo-observables of infinite nuclear matter [6][7][8]. The minimization procedure can be quite evolved since the penalty function presents discontinuities in the parameter space and therefore may induce some difficulties in finding a stable minimum.…”

Section: Introductionmentioning

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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“…Finally, a new interaction named D2, with a finite-range version of the density dependent term has been presented recently in Ref. [39]. Our results can be easily modified to take into account such a new term.…”

Section: Gogny Interactionmentioning

confidence: 95%

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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Gogny force with a finite-range density dependence

Cited by 47 publications

References 93 publications

Prospective study on microscopic potential with Gogny interaction

Prospective study on microscopic potential with Gogny interaction

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

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

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