Fitting Skyrme functionals using linear response theory

Pastore, Alessandro; Davesne, D.; Bennaceur, K.; Meyer, J.; Hellemans, V.

doi:10.1088/0031-8949/2013/t154/014014

Cited by 46 publications

(124 citation statements)

References 23 publications

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“…In Ref. [44], we have presented for the first time a new fitting procedure based on the LR formalism to produce stable Skyrme functionals.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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Abstract. The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional.

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“…In Ref. [44], we have presented for the first time a new fitting procedure based on the LR formalism to produce stable Skyrme functionals.…”

Section: Linear Response For 4th Order Componentmentioning

confidence: 99%

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Becker¹,

Davesne²,

Meyer³

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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“…The former instabilities are driven by the bulk terms in the EDF, whereas the latter are driven by the terms that contain a nabla or Laplacian acting on a density and that are zero in homogeneous INM. Recently, the calculation of the linear response of the full Skyrme EDF (13a-13b) with tensor terms in force-based [85] and general functional [86] frameworks has become available. There might also be, however, a second class of instabilities which are related to surface modes [87].…”

Section: A General Commentsmentioning

confidence: 99%

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

2012

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This article extends previous studies on the effect of tensor terms in the Skyrme energy density functional by breaking of time-reversal invariance. We have systematically probed the impact of tensor terms on properties of superdeformed rotational bands calculated within the cranked HartreeFock-Bogoliubov approach for different parameterizations covering a wide range of values for the isoscalar and isovector tensor coupling constants. We analyze in detail the contribution of the tensor terms to the energies and dynamical moments of inertia and study their impact on quasi-particle spectra. Special attention is devoted to the time-odd tensor terms, the effect of variations of their coupling constants and finite-size instabilities.

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“…To obtain a more realistic result, it is however mandatory to include the temperature effects. In that case, the maximum transfer momentum between neutrino and nucleon can increase and one expects that it can eventually enter in regions with finite-size instabilities [16,17,18,19]. Work along these lines is in progress.…”

Section: Discussionmentioning

confidence: 99%

Neutrino mean free path in neutron matter with Brussels-Montreal Skyrme functionals

Pastore

Martini

Davesne

et al. 2016

J. Phys.: Conf. Ser.

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Abstract. We calculate the neutrino mean free path in cold neutron matter with some modern Brussels-Montreal functionals. The three typical functionals used in this article produce quite different results implying a possible impact on the cooling mechanism of neutron stars. IntroductionThe recent Brussels-Montreal functionals [1] have been very successful in describing both ground state properties of finite nuclei and some astrophysical quantities as the equation of state [2]. These functionals fitted to essentially all the 2149 experimentally known masses are similar to the standard non-relativistic Skyrme effective interaction [3] excepting for the presence of two extra density-and momentum-dependent terms [4]. The latter have been introduced to allow for more flexibilities in reproducing at the same time the properties of nuclei and infinite nuclear matter, including the quality of the functionals against ferromagnetic instabilities in neutron matter [4]. In that respect to avoid such instabilities, the functionals BSk19, BSk20, BSk21 have been fitted to satisfy the Landau inequalities up to very high densities. Furthermore, it has been shown [2] that it was possible to use them for both finite nuclei and astrophysical applications [5,6].The neutrino emission is one of the most efficient mechanism to dissipate the energy accumulated during the formation of a neutron star [7]. Since the neutrinos cross different layers of nuclear matter and are scattered by neutrons, they lose energy, making the cooling mechanism less efficient. The neutrino mean free path (NMFP) is a fundamental ingredient for a proper understanding of the cooling process. In the present article, we investigate the NMFP with the 3 above-mentioned functionals.The article is organized as follows: in Sec.2 we present the linear response formalism necessary for the determination of the response function. Then we show explicitly the influence of the response function on the NMFP in Sec.3 and finally draw our conclusions in Sec.4.

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Fitting Skyrme functionals using linear response theory

Cited by 46 publications

References 23 publications

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin

Neutrino mean free path in neutron matter with Brussels-Montreal Skyrme functionals

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