Nuclear matter response function with a central plus tensor Landau interaction

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

doi:10.1088/0954-3899/41/5/055103

Cited by 16 publications

(41 citation statements)

References 56 publications

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“…The results in the F channels have the correct sign in the last generation of M3Y interactions. Such an observation is compatible with a previous analysis based on Landau parameters which appear to be too small compared to the results obtained with other ab-initio methods [64]. …”

Section: Decomposition In Partial Wavessupporting

confidence: 91%

“…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: 77%

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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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Section: Decomposition In Partial Wavessupporting

confidence: 91%

Section: Decomposition In Partial Wavesmentioning

confidence: 77%

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

et al. 2016

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“…Similar drawbacks of D1ST2a and M3Y-P2 interactions have been signaled in Ref. [21], where tensor Landau parameters H (n) ℓ for pure neutron matter were calculated with these interactions and compared to the values obtained within the Correlated Basis Function (CBF) of Ref. [33] and the Chiral Effective Field Theory (CEFT) of Ref.…”

supporting

confidence: 52%

“…To avoid them we have proposed [19,20] to incorporate into the fitting procedure the constraints obtained from linear response theory. Furthermore, we have also suggested [19,21,22] some new constraints from microscopic calculations based on the bare NN interaction: specifically, a partial wave decomposition on the so-called N3LO Skyrme pseudo-potential of the symmetric nuclear matter (SNM) equation of state (EoS) allows one to clearly identify the contribution of each term of the effective interaction, even for the tensor part. This decomposition can be used for an initial guess of the interaction parameters.…”

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confidence: 99%

Partial-wave decomposition of the finite-range effective tensor interaction

et al. 2016

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We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial wave decomposition of the equation of state of symmetric nuclear matter, we show how we can extract their tensor parameters directly from microscopic results based on bare nucleon-nucleon interactions. Furthermore, we show that the zero-range limit of both finite-range interactions has the form of the N3LO Skyrme pseudopotential, which thus constitutes a reliable approximation in the density range relevant for finite nuclei. Finally, we use Brueckner-Hartree-Fock results to fix the tensor parameters for the three effective interactions. One of the key ingredients of the bare nucleon-nucleon (NN) interaction is the tensor part, which represents the most distinct manifestation on meson exchange process. Among the most important properties related to the tensor interaction, one can mention the quadrupole moment of the deuteron, the properties of excited states [1][2][3][4], the contribution to the spin-orbit splitting [5], and the shell evolution along isotopic chains [6]. Within the context of phenomenological interactions, one should in particular keep in mind that the strong competition between spin-orbit and tensor on the shell structure properties of atomic nuclei [2, 7-9], prevents to freely explore the parameter space, since a variation in the tensor can lead to a substantial change in the shell structure with the appearance of new magic numbers. A detailed discussion and list of references about these issues is given in the recent review article of Sagawa and Coló [10].Despite their importance, only a few exploratory attempts have been made in the past [11,12] to include explicit tensor terms within non-relativistic self-consistent mean-field or density functional nuclear models. More recently, such terms have been added to existing zero-or finite-range effective interactions, as the popular families of Skyrme [13], Gogny [14] or M3Y [15]. The parameters are usually fixed to reproduce some selected spinorbit splittings, with either a partial or a complete fit of parameters. However, the parametrizations can lead to the appearance of unphysical instabilities of the Fermi surface both in the zero-and long-range regimes [16][17][18]. To avoid them we have proposed [19,20] to incorporate into the fitting procedure the constraints obtained from linear response theory. Furthermore, we have also suggested [19,21,22] some new constraints from microscopic calculations based on the bare NN interaction: specifically, a partial wave decomposition on the so-called N3LO Skyrme pseudo-potential of the symmetric nuclear matter (SNM) equation of state (EoS) allows one to clearly identify the contribution of each term of the effective interaction, even for the tensor part. This decomposition can be used for an initial guess of the interaction parameters. The N3LO pseudo-potential represents the most general non-local zero-range pseudo-potential that incl...

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“…[36,37,38,35], we have decided to express the system of coupled equations in matrix form as done in Ref. [48] and to solve them numerically to obtain the response function of the system χ (α) (q, ω). The instabilities in SNM can thus be found as the numerical solutions of…”

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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Nuclear matter response function with a central plus tensor Landau interaction

Cited by 16 publications

References 56 publications

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

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

Partial-wave decomposition of the finite-range effective tensor interaction

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

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